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Finding the Third Proportional to 87,872 and 136,158

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Solution

The third proportional to 87,872 and 136,158 is: 210,977.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,872 : 136,158 = 136,158 : x
  2. Step 2: Convert to fraction form
    87,872/136,158 = 136,158/x
  3. Step 3: Cross multiply
    87,872x = 136,158 × 136,158
  4. Step 4: Simplify right side
    87,872x = 18,539,000,964
  5. Step 5: Solve for x
    x = 18,539,000,964/87,872
  6. Step 6: Final answer
    x = 210,977.34

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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.