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Finding the Third Proportional to 14.93 and 31.79

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Solution

The third proportional to 14.93 and 31.79 is: 67.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.93 : 31.79 = 31.79 : x
  2. Step 2: Convert to fraction form
    14.93/31.79 = 31.79/x
  3. Step 3: Cross multiply
    14.93x = 31.79 × 31.79
  4. Step 4: Simplify right side
    14.93x = 1,010.57
  5. Step 5: Solve for x
    x = 1,010.57/14.93
  6. Step 6: Final answer
    x = 67.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.