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Finding the Third Proportional to 91.13 and 135.35

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Solution

The third proportional to 91.13 and 135.35 is: 201.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.13 : 135.35 = 135.35 : x
  2. Step 2: Convert to fraction form
    91.13/135.35 = 135.35/x
  3. Step 3: Cross multiply
    91.13x = 135.35 × 135.35
  4. Step 4: Simplify right side
    91.13x = 18,320.05
  5. Step 5: Solve for x
    x = 18,320.05/91.13
  6. Step 6: Final answer
    x = 201.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.