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Finding the Third Proportional to 61.17 and 91.76

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Solution

The third proportional to 61.17 and 91.76 is: 137.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.17 : 91.76 = 91.76 : x
  2. Step 2: Convert to fraction form
    61.17/91.76 = 91.76/x
  3. Step 3: Cross multiply
    61.17x = 91.76 × 91.76
  4. Step 4: Simplify right side
    61.17x = 8,419.50
  5. Step 5: Solve for x
    x = 8,419.50/61.17
  6. Step 6: Final answer
    x = 137.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.