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Finding the Third Proportional to 41.66 and 64.81

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Solution

The third proportional to 41.66 and 64.81 is: 100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.66 : 64.81 = 64.81 : x
  2. Step 2: Convert to fraction form
    41.66/64.81 = 64.81/x
  3. Step 3: Cross multiply
    41.66x = 64.81 × 64.81
  4. Step 4: Simplify right side
    41.66x = 4,200.41
  5. Step 5: Solve for x
    x = 4,200.41/41.66
  6. Step 6: Final answer
    x = 100.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.