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Finding the Third Proportional to 142,951 and 209,651

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Solution

The third proportional to 142,951 and 209,651 is: 307,472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,951 : 209,651 = 209,651 : x
  2. Step 2: Convert to fraction form
    142,951/209,651 = 209,651/x
  3. Step 3: Cross multiply
    142,951x = 209,651 × 209,651
  4. Step 4: Simplify right side
    142,951x = 43,953,541,801
  5. Step 5: Solve for x
    x = 43,953,541,801/142,951
  6. Step 6: Final answer
    x = 307,472.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.