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Finding the Third Proportional to 87,751.50 and 136,125

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Solution

The third proportional to 87,751.50 and 136,125 is: 211,164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,751.50 : 136,125 = 136,125 : x
  2. Step 2: Convert to fraction form
    87,751.50/136,125 = 136,125/x
  3. Step 3: Cross multiply
    87,751.50x = 136,125 × 136,125
  4. Step 4: Simplify right side
    87,751.50x = 18,530,015,625
  5. Step 5: Solve for x
    x = 18,530,015,625/87,751.50
  6. Step 6: Final answer
    x = 211,164.66

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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.