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Finding the Third Proportional to 87,710 and 136,059

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Solution

The third proportional to 87,710 and 136,059 is: 211,059.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,710 : 136,059 = 136,059 : x
  2. Step 2: Convert to fraction form
    87,710/136,059 = 136,059/x
  3. Step 3: Cross multiply
    87,710x = 136,059 × 136,059
  4. Step 4: Simplify right side
    87,710x = 18,512,051,481
  5. Step 5: Solve for x
    x = 18,512,051,481/87,710
  6. Step 6: Final answer
    x = 211,059.76

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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.