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Finding the Third Proportional to 87,457.50 and 137,493

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Solution

The third proportional to 87,457.50 and 137,493 is: 216,154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,457.50 : 137,493 = 137,493 : x
  2. Step 2: Convert to fraction form
    87,457.50/137,493 = 137,493/x
  3. Step 3: Cross multiply
    87,457.50x = 137,493 × 137,493
  4. Step 4: Simplify right side
    87,457.50x = 18,904,325,049
  5. Step 5: Solve for x
    x = 18,904,325,049/87,457.50
  6. Step 6: Final answer
    x = 216,154.42

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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.