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Finding the Third Proportional to 40.38 and 89.38

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Solution

The third proportional to 40.38 and 89.38 is: 197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.38 : 89.38 = 89.38 : x
  2. Step 2: Convert to fraction form
    40.38/89.38 = 89.38/x
  3. Step 3: Cross multiply
    40.38x = 89.38 × 89.38
  4. Step 4: Simplify right side
    40.38x = 7,987.89
  5. Step 5: Solve for x
    x = 7,987.89/40.38
  6. Step 6: Final answer
    x = 197.84

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.