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Finding the Third Proportional to 14.20 and 30.86

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Solution

The third proportional to 14.20 and 30.86 is: 67.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.20 : 30.86 = 30.86 : x
  2. Step 2: Convert to fraction form
    14.20/30.86 = 30.86/x
  3. Step 3: Cross multiply
    14.20x = 30.86 × 30.86
  4. Step 4: Simplify right side
    14.20x = 952.28
  5. Step 5: Solve for x
    x = 952.28/14.20
  6. Step 6: Final answer
    x = 67.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.