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Finding the Third Proportional to 302,691 and 657,870

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Solution

The third proportional to 302,691 and 657,870 is: 1,429,817.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,691 : 657,870 = 657,870 : x
  2. Step 2: Convert to fraction form
    302,691/657,870 = 657,870/x
  3. Step 3: Cross multiply
    302,691x = 657,870 × 657,870
  4. Step 4: Simplify right side
    302,691x = 432,792,936,900
  5. Step 5: Solve for x
    x = 432,792,936,900/302,691
  6. Step 6: Final answer
    x = 1,429,817.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.