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Finding the Third Proportional to 71.88 and 97.94

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Solution

The third proportional to 71.88 and 97.94 is: 133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.88 : 97.94 = 97.94 : x
  2. Step 2: Convert to fraction form
    71.88/97.94 = 97.94/x
  3. Step 3: Cross multiply
    71.88x = 97.94 × 97.94
  4. Step 4: Simplify right side
    71.88x = 9,591.75
  5. Step 5: Solve for x
    x = 9,591.75/71.88
  6. Step 6: Final answer
    x = 133.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.