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Finding the Third Proportional to 261,042 and 415,372

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Solution

The third proportional to 261,042 and 415,372 is: 660,943.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,042 : 415,372 = 415,372 : x
  2. Step 2: Convert to fraction form
    261,042/415,372 = 415,372/x
  3. Step 3: Cross multiply
    261,042x = 415,372 × 415,372
  4. Step 4: Simplify right side
    261,042x = 172,533,898,384
  5. Step 5: Solve for x
    x = 172,533,898,384/261,042
  6. Step 6: Final answer
    x = 660,943.06

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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.