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Finding the Third Proportional to 71.88 and 94.38

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Solution

The third proportional to 71.88 and 94.38 is: 123.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.88 : 94.38 = 94.38 : x
  2. Step 2: Convert to fraction form
    71.88/94.38 = 94.38/x
  3. Step 3: Cross multiply
    71.88x = 94.38 × 94.38
  4. Step 4: Simplify right side
    71.88x = 8,906.64
  5. Step 5: Solve for x
    x = 8,906.64/71.88
  6. Step 6: Final answer
    x = 123.92

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.