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Finding the Third Proportional to 132,930 and 291,691

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Solution

The third proportional to 132,930 and 291,691 is: 640,063.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,930 : 291,691 = 291,691 : x
  2. Step 2: Convert to fraction form
    132,930/291,691 = 291,691/x
  3. Step 3: Cross multiply
    132,930x = 291,691 × 291,691
  4. Step 4: Simplify right side
    132,930x = 85,083,639,481
  5. Step 5: Solve for x
    x = 85,083,639,481/132,930
  6. Step 6: Final answer
    x = 640,063.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.