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Finding the Third Proportional to 415,792 and 669,624

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Solution

The third proportional to 415,792 and 669,624 is: 1,078,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,792 : 669,624 = 669,624 : x
  2. Step 2: Convert to fraction form
    415,792/669,624 = 669,624/x
  3. Step 3: Cross multiply
    415,792x = 669,624 × 669,624
  4. Step 4: Simplify right side
    415,792x = 448,396,301,376
  5. Step 5: Solve for x
    x = 448,396,301,376/415,792
  6. Step 6: Final answer
    x = 1,078,414.93

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.