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Finding the Third Proportional to 14.71 and 30.85

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Solution

The third proportional to 14.71 and 30.85 is: 64.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.71 : 30.85 = 30.85 : x
  2. Step 2: Convert to fraction form
    14.71/30.85 = 30.85/x
  3. Step 3: Cross multiply
    14.71x = 30.85 × 30.85
  4. Step 4: Simplify right side
    14.71x = 951.70
  5. Step 5: Solve for x
    x = 951.70/14.71
  6. Step 6: Final answer
    x = 64.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.