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Finding the Third Proportional to 40.13 and 75.84

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Solution

The third proportional to 40.13 and 75.84 is: 143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.13 : 75.84 = 75.84 : x
  2. Step 2: Convert to fraction form
    40.13/75.84 = 75.84/x
  3. Step 3: Cross multiply
    40.13x = 75.84 × 75.84
  4. Step 4: Simplify right side
    40.13x = 5,752.27
  5. Step 5: Solve for x
    x = 5,752.27/40.13
  6. Step 6: Final answer
    x = 143.36

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.