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Finding the Third Proportional to 38,469 and 82,686.75

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Solution

The third proportional to 38,469 and 82,686.75 is: 177,730.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,469 : 82,686.75 = 82,686.75 : x
  2. Step 2: Convert to fraction form
    38,469/82,686.75 = 82,686.75/x
  3. Step 3: Cross multiply
    38,469x = 82,686.75 × 82,686.75
  4. Step 4: Simplify right side
    38,469x = 6,837,098,625.56
  5. Step 5: Solve for x
    x = 6,837,098,625.56/38,469
  6. Step 6: Final answer
    x = 177,730.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.