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Finding the Third Proportional to 85.13 and 91.78

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Solution

The third proportional to 85.13 and 91.78 is: 98.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.13 : 91.78 = 91.78 : x
  2. Step 2: Convert to fraction form
    85.13/91.78 = 91.78/x
  3. Step 3: Cross multiply
    85.13x = 91.78 × 91.78
  4. Step 4: Simplify right side
    85.13x = 8,423.80
  5. Step 5: Solve for x
    x = 8,423.80/85.13
  6. Step 6: Final answer
    x = 98.96

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.