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Finding the Third Proportional to 40.16 and 64.87

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Solution

The third proportional to 40.16 and 64.87 is: 104.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.16 : 64.87 = 64.87 : x
  2. Step 2: Convert to fraction form
    40.16/64.87 = 64.87/x
  3. Step 3: Cross multiply
    40.16x = 64.87 × 64.87
  4. Step 4: Simplify right side
    40.16x = 4,207.61
  5. Step 5: Solve for x
    x = 4,207.61/40.16
  6. Step 6: Final answer
    x = 104.78

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.