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Finding the Third Proportional to 87,788 and 136,140

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Solution

The third proportional to 87,788 and 136,140 is: 211,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,788 : 136,140 = 136,140 : x
  2. Step 2: Convert to fraction form
    87,788/136,140 = 136,140/x
  3. Step 3: Cross multiply
    87,788x = 136,140 × 136,140
  4. Step 4: Simplify right side
    87,788x = 18,534,099,600
  5. Step 5: Solve for x
    x = 18,534,099,600/87,788
  6. Step 6: Final answer
    x = 211,123.38

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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.