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Finding the Third Proportional to 60.05 and 91.79

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Solution

The third proportional to 60.05 and 91.79 is: 140.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.05 : 91.79 = 91.79 : x
  2. Step 2: Convert to fraction form
    60.05/91.79 = 91.79/x
  3. Step 3: Cross multiply
    60.05x = 91.79 × 91.79
  4. Step 4: Simplify right side
    60.05x = 8,425.95
  5. Step 5: Solve for x
    x = 8,425.95/60.05
  6. Step 6: Final answer
    x = 140.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.