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Finding the Third Proportional to 91.75 and 129.06

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Solution

The third proportional to 91.75 and 129.06 is: 181.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.75 : 129.06 = 129.06 : x
  2. Step 2: Convert to fraction form
    91.75/129.06 = 129.06/x
  3. Step 3: Cross multiply
    91.75x = 129.06 × 129.06
  4. Step 4: Simplify right side
    91.75x = 16,657.13
  5. Step 5: Solve for x
    x = 16,657.13/91.75
  6. Step 6: Final answer
    x = 181.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.