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Finding the Third Proportional to 40.08 and 63.80

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Solution

The third proportional to 40.08 and 63.80 is: 101.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.08 : 63.80 = 63.80 : x
  2. Step 2: Convert to fraction form
    40.08/63.80 = 63.80/x
  3. Step 3: Cross multiply
    40.08x = 63.80 × 63.80
  4. Step 4: Simplify right side
    40.08x = 4,070.04
  5. Step 5: Solve for x
    x = 4,070.04/40.08
  6. Step 6: Final answer
    x = 101.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.