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Finding the Third Proportional to 39.59 and 91.66

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Solution

The third proportional to 39.59 and 91.66 is: 212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.59 : 91.66 = 91.66 : x
  2. Step 2: Convert to fraction form
    39.59/91.66 = 91.66/x
  3. Step 3: Cross multiply
    39.59x = 91.66 × 91.66
  4. Step 4: Simplify right side
    39.59x = 8,400.87
  5. Step 5: Solve for x
    x = 8,400.87/39.59
  6. Step 6: Final answer
    x = 212.18

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.