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Finding the Third Proportional to 87,427.69 and 135,409.22

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Solution

The third proportional to 87,427.69 and 135,409.22 is: 209,723.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,427.69 : 135,409.22 = 135,409.22 : x
  2. Step 2: Convert to fraction form
    87,427.69/135,409.22 = 135,409.22/x
  3. Step 3: Cross multiply
    87,427.69x = 135,409.22 × 135,409.22
  4. Step 4: Simplify right side
    87,427.69x = 18,335,656,522.49
  5. Step 5: Solve for x
    x = 18,335,656,522.49/87,427.69
  6. Step 6: Final answer
    x = 209,723.68

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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.