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Finding the Third Proportional to 423,531 and 636,246

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Solution

The third proportional to 423,531 and 636,246 is: 955,795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,531 : 636,246 = 636,246 : x
  2. Step 2: Convert to fraction form
    423,531/636,246 = 636,246/x
  3. Step 3: Cross multiply
    423,531x = 636,246 × 636,246
  4. Step 4: Simplify right side
    423,531x = 404,808,972,516
  5. Step 5: Solve for x
    x = 404,808,972,516/423,531
  6. Step 6: Final answer
    x = 955,795.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.