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Finding the Third Proportional to 87,193.13 and 123,412.78

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Solution

The third proportional to 87,193.13 and 123,412.78 is: 174,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,193.13 : 123,412.78 = 123,412.78 : x
  2. Step 2: Convert to fraction form
    87,193.13/123,412.78 = 123,412.78/x
  3. Step 3: Cross multiply
    87,193.13x = 123,412.78 × 123,412.78
  4. Step 4: Simplify right side
    87,193.13x = 15,230,714,575.86
  5. Step 5: Solve for x
    x = 15,230,714,575.86/87,193.13
  6. Step 6: Final answer
    x = 174,677.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.