{
  "address": "09259109a55f00e2312a94fce7122756",
  "category": "other",
  "question": "If 2:3 = 10:x, what is x?",
  "answer": "15.00",
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    "id": null
  },
  "answeredBy": "method",
  "madeAt": "2026-09-30T22:39:30.722Z",
  "validUntil": null,
  "validityClass": "forever",
  "sources": [
    {
      "label": "Ratio and proportion, cross-multiplication method",
      "url": null
    }
  ],
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  "source": {
    "kind": "edition_page",
    "value": "Standard arithmetic reference (ratio and proportion, cross-multiplication).",
    "retrieved_utc": "2026-09-30T19:57:00Z"
  },
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  "method": {
    "name": "Solve a proportion a:b = c:x",
    "version": "1",
    "source_url_or_file": "methods/ratio-and-proportion-solve.cjs",
    "sha256_of_method_file": "df9be915855cca241cb7b58759eef2fe1253f5f507ed1eaebc3f29496900eca9"
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  "method_deck": {
    "inputs": [
      {
        "name": "a",
        "type": "number",
        "required": true,
        "description": "First term.",
        "min": 1e-7
      },
      {
        "name": "b",
        "type": "number",
        "required": true,
        "description": "Second term."
      },
      {
        "name": "c",
        "type": "number",
        "required": true,
        "description": "Third term."
      }
    ],
    "outputs": [
      {
        "name": "x",
        "description": "The fourth term that makes a:b = c:x true."
      }
    ],
    "steps": [
      "A proportion a:b = c:x means a/b = c/x.",
      "Cross-multiplying gives a*x = b*c, so x = (b*c) / a.",
      "Round to 2 decimals."
    ],
    "constants": [],
    "examples": [
      {
        "name": "worked example",
        "inputs": {
          "a": 2,
          "b": 3,
          "c": 10
        },
        "expected": {
          "answer": "15.00"
        },
        "check": "Cross-multiply to check: 2*15=30 and 3*10=30, equal, so x=15.00 is correct."
      },
      {
        "name": "test vector: larger numbers",
        "inputs": {
          "a": 4,
          "b": 9,
          "c": 16
        },
        "expected": {
          "answer": "36.00"
        },
        "check": "Cross-multiply to check: 4*36=144 and 9*16=144, equal, so x=36.00 is correct."
      }
    ],
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    "deck_category": "other"
  },
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          "value": "Standard arithmetic reference (ratio and proportion, cross-multiplication).",
          "retrieved_utc": "2026-09-30T19:57:00Z"
        },
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        "supersedes": null,
        "added_utc": "2026-09-30T22:39:30.722Z",
        "added_by": "method:Solve a proportion a:b = c:x",
        "why": "the method that computed this answer",
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}