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Finding the Third Proportional to 37.95 and 81.43

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Solution

The third proportional to 37.95 and 81.43 is: 174.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.95 : 81.43 = 81.43 : x
  2. Step 2: Convert to fraction form
    37.95/81.43 = 81.43/x
  3. Step 3: Cross multiply
    37.95x = 81.43 × 81.43
  4. Step 4: Simplify right side
    37.95x = 6,630.95
  5. Step 5: Solve for x
    x = 6,630.95/37.95
  6. Step 6: Final answer
    x = 174.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.