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Finding the Third Proportional to 317,468 and 479,446

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Solution

The third proportional to 317,468 and 479,446 is: 724,068.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,468 : 479,446 = 479,446 : x
  2. Step 2: Convert to fraction form
    317,468/479,446 = 479,446/x
  3. Step 3: Cross multiply
    317,468x = 479,446 × 479,446
  4. Step 4: Simplify right side
    317,468x = 229,868,466,916
  5. Step 5: Solve for x
    x = 229,868,466,916/317,468
  6. Step 6: Final answer
    x = 724,068.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.