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Finding the Third Proportional to 5.71 and 8.76

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Solution

The third proportional to 5.71 and 8.76 is: 13.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.71 : 8.76 = 8.76 : x
  2. Step 2: Convert to fraction form
    5.71/8.76 = 8.76/x
  3. Step 3: Cross multiply
    5.71x = 8.76 × 8.76
  4. Step 4: Simplify right side
    5.71x = 76.70
  5. Step 5: Solve for x
    x = 76.70/5.71
  6. Step 6: Final answer
    x = 13.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.