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Finding the Third Proportional to 37.71 and 79.68

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Solution

The third proportional to 37.71 and 79.68 is: 168.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.71 : 79.68 = 79.68 : x
  2. Step 2: Convert to fraction form
    37.71/79.68 = 79.68/x
  3. Step 3: Cross multiply
    37.71x = 79.68 × 79.68
  4. Step 4: Simplify right side
    37.71x = 6,349.16
  5. Step 5: Solve for x
    x = 6,349.16/37.71
  6. Step 6: Final answer
    x = 168.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.