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Finding the Third Proportional to 87,496.25 and 135,740

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Solution

The third proportional to 87,496.25 and 135,740 is: 210,584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,496.25 : 135,740 = 135,740 : x
  2. Step 2: Convert to fraction form
    87,496.25/135,740 = 135,740/x
  3. Step 3: Cross multiply
    87,496.25x = 135,740 × 135,740
  4. Step 4: Simplify right side
    87,496.25x = 18,425,347,600
  5. Step 5: Solve for x
    x = 18,425,347,600/87,496.25
  6. Step 6: Final answer
    x = 210,584.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.