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Finding the Third Proportional to 84.16 and 91.76

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Solution

The third proportional to 84.16 and 91.76 is: 100.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.16 : 91.76 = 91.76 : x
  2. Step 2: Convert to fraction form
    84.16/91.76 = 91.76/x
  3. Step 3: Cross multiply
    84.16x = 91.76 × 91.76
  4. Step 4: Simplify right side
    84.16x = 8,419.50
  5. Step 5: Solve for x
    x = 8,419.50/84.16
  6. Step 6: Final answer
    x = 100.04

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.