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Finding the Third Proportional to 261,680 and 415,032

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Solution

The third proportional to 261,680 and 415,032 is: 658,252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,680 : 415,032 = 415,032 : x
  2. Step 2: Convert to fraction form
    261,680/415,032 = 415,032/x
  3. Step 3: Cross multiply
    261,680x = 415,032 × 415,032
  4. Step 4: Simplify right side
    261,680x = 172,251,561,024
  5. Step 5: Solve for x
    x = 172,251,561,024/261,680
  6. Step 6: Final answer
    x = 658,252.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.