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Finding the Third Proportional to 87.57 and 128.86

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Solution

The third proportional to 87.57 and 128.86 is: 189.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.57 : 128.86 = 128.86 : x
  2. Step 2: Convert to fraction form
    87.57/128.86 = 128.86/x
  3. Step 3: Cross multiply
    87.57x = 128.86 × 128.86
  4. Step 4: Simplify right side
    87.57x = 16,603.98
  5. Step 5: Solve for x
    x = 16,603.98/87.57
  6. Step 6: Final answer
    x = 189.62

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.