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Finding the Third Proportional to 87,729.75 and 136,090.13

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Solution

The third proportional to 87,729.75 and 136,090.13 is: 211,108.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,729.75 : 136,090.13 = 136,090.13 : x
  2. Step 2: Convert to fraction form
    87,729.75/136,090.13 = 136,090.13/x
  3. Step 3: Cross multiply
    87,729.75x = 136,090.13 × 136,090.13
  4. Step 4: Simplify right side
    87,729.75x = 18,520,522,122.52
  5. Step 5: Solve for x
    x = 18,520,522,122.52/87,729.75
  6. Step 6: Final answer
    x = 211,108.80

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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.