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Finding the Third Proportional to 37.48 and 81.70

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Solution

The third proportional to 37.48 and 81.70 is: 178.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.48 : 81.70 = 81.70 : x
  2. Step 2: Convert to fraction form
    37.48/81.70 = 81.70/x
  3. Step 3: Cross multiply
    37.48x = 81.70 × 81.70
  4. Step 4: Simplify right side
    37.48x = 6,675.40
  5. Step 5: Solve for x
    x = 6,675.40/37.48
  6. Step 6: Final answer
    x = 178.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.