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Finding the Third Proportional to 14.47 and 31.57

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Solution

The third proportional to 14.47 and 31.57 is: 68.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.47 : 31.57 = 31.57 : x
  2. Step 2: Convert to fraction form
    14.47/31.57 = 31.57/x
  3. Step 3: Cross multiply
    14.47x = 31.57 × 31.57
  4. Step 4: Simplify right side
    14.47x = 996.40
  5. Step 5: Solve for x
    x = 996.40/14.47
  6. Step 6: Final answer
    x = 68.87

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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.