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Finding the Third Proportional to 87,930 and 136,026

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Solution

The third proportional to 87,930 and 136,026 is: 210,429.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,930 : 136,026 = 136,026 : x
  2. Step 2: Convert to fraction form
    87,930/136,026 = 136,026/x
  3. Step 3: Cross multiply
    87,930x = 136,026 × 136,026
  4. Step 4: Simplify right side
    87,930x = 18,503,072,676
  5. Step 5: Solve for x
    x = 18,503,072,676/87,930
  6. Step 6: Final answer
    x = 210,429.58

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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.