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Finding the Third Proportional to 261,036.56 and 415,363.88

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Solution

The third proportional to 261,036.56 and 415,363.88 is: 660,930.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,036.56 : 415,363.88 = 415,363.88 : x
  2. Step 2: Convert to fraction form
    261,036.56/415,363.88 = 415,363.88/x
  3. Step 3: Cross multiply
    261,036.56x = 415,363.88 × 415,363.88
  4. Step 4: Simplify right side
    261,036.56x = 172,527,148,655.02
  5. Step 5: Solve for x
    x = 172,527,148,655.02/261,036.56
  6. Step 6: Final answer
    x = 660,930.97

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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.