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Finding the Third Proportional to 87,878 and 136,187

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Solution

The third proportional to 87,878 and 136,187 is: 211,052.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,878 : 136,187 = 136,187 : x
  2. Step 2: Convert to fraction form
    87,878/136,187 = 136,187/x
  3. Step 3: Cross multiply
    87,878x = 136,187 × 136,187
  4. Step 4: Simplify right side
    87,878x = 18,546,898,969
  5. Step 5: Solve for x
    x = 18,546,898,969/87,878
  6. Step 6: Final answer
    x = 211,052.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.