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Finding the Third Proportional to 645,910 and 961,472

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Solution

The third proportional to 645,910 and 961,472 is: 1,431,203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,910 : 961,472 = 961,472 : x
  2. Step 2: Convert to fraction form
    645,910/961,472 = 961,472/x
  3. Step 3: Cross multiply
    645,910x = 961,472 × 961,472
  4. Step 4: Simplify right side
    645,910x = 924,428,406,784
  5. Step 5: Solve for x
    x = 924,428,406,784/645,910
  6. Step 6: Final answer
    x = 1,431,203.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.