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Finding the Third Proportional to 7.71 and 17.15

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Solution

The third proportional to 7.71 and 17.15 is: 38.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.71 : 17.15 = 17.15 : x
  2. Step 2: Convert to fraction form
    7.71/17.15 = 17.15/x
  3. Step 3: Cross multiply
    7.71x = 17.15 × 17.15
  4. Step 4: Simplify right side
    7.71x = 293.98
  5. Step 5: Solve for x
    x = 293.98/7.71
  6. Step 6: Final answer
    x = 38.15

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.