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Finding the Third Proportional to 7.72 and 18.71

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Solution

The third proportional to 7.72 and 18.71 is: 45.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.72 : 18.71 = 18.71 : x
  2. Step 2: Convert to fraction form
    7.72/18.71 = 18.71/x
  3. Step 3: Cross multiply
    7.72x = 18.71 × 18.71
  4. Step 4: Simplify right side
    7.72x = 349.90
  5. Step 5: Solve for x
    x = 349.90/7.72
  6. Step 6: Final answer
    x = 45.33

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.