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Finding the Third Proportional to 87,612.75 and 137,257.50

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Solution

The third proportional to 87,612.75 and 137,257.50 is: 215,032.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,612.75 : 137,257.50 = 137,257.50 : x
  2. Step 2: Convert to fraction form
    87,612.75/137,257.50 = 137,257.50/x
  3. Step 3: Cross multiply
    87,612.75x = 137,257.50 × 137,257.50
  4. Step 4: Simplify right side
    87,612.75x = 18,839,621,306.25
  5. Step 5: Solve for x
    x = 18,839,621,306.25/87,612.75
  6. Step 6: Final answer
    x = 215,032.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.