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Finding the Third Proportional to 81,139.75 and 176,565.25

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Solution

The third proportional to 81,139.75 and 176,565.25 is: 384,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,139.75 : 176,565.25 = 176,565.25 : x
  2. Step 2: Convert to fraction form
    81,139.75/176,565.25 = 176,565.25/x
  3. Step 3: Cross multiply
    81,139.75x = 176,565.25 × 176,565.25
  4. Step 4: Simplify right side
    81,139.75x = 31,175,287,507.56
  5. Step 5: Solve for x
    x = 31,175,287,507.56/81,139.75
  6. Step 6: Final answer
    x = 384,217.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.