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Finding the Third Proportional to 261,042.75 and 415,374

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Solution

The third proportional to 261,042.75 and 415,374 is: 660,947.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,042.75 : 415,374 = 415,374 : x
  2. Step 2: Convert to fraction form
    261,042.75/415,374 = 415,374/x
  3. Step 3: Cross multiply
    261,042.75x = 415,374 × 415,374
  4. Step 4: Simplify right side
    261,042.75x = 172,535,559,876
  5. Step 5: Solve for x
    x = 172,535,559,876/261,042.75
  6. Step 6: Final answer
    x = 660,947.53

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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.