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Finding the Third Proportional to 87.19 and 127.78

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Solution

The third proportional to 87.19 and 127.78 is: 187.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.19 : 127.78 = 127.78 : x
  2. Step 2: Convert to fraction form
    87.19/127.78 = 127.78/x
  3. Step 3: Cross multiply
    87.19x = 127.78 × 127.78
  4. Step 4: Simplify right side
    87.19x = 16,328.05
  5. Step 5: Solve for x
    x = 16,328.05/87.19
  6. Step 6: Final answer
    x = 187.28

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Why These Related Problems?

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