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Finding the Third Proportional to 76.38 and 85.94

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Solution

The third proportional to 76.38 and 85.94 is: 96.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.38 : 85.94 = 85.94 : x
  2. Step 2: Convert to fraction form
    76.38/85.94 = 85.94/x
  3. Step 3: Cross multiply
    76.38x = 85.94 × 85.94
  4. Step 4: Simplify right side
    76.38x = 7,385.25
  5. Step 5: Solve for x
    x = 7,385.25/76.38
  6. Step 6: Final answer
    x = 96.70

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.