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Finding the Third Proportional to 12.74 and 14.55

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Solution

The third proportional to 12.74 and 14.55 is: 16.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.74 : 14.55 = 14.55 : x
  2. Step 2: Convert to fraction form
    12.74/14.55 = 14.55/x
  3. Step 3: Cross multiply
    12.74x = 14.55 × 14.55
  4. Step 4: Simplify right side
    12.74x = 211.83
  5. Step 5: Solve for x
    x = 211.83/12.74
  6. Step 6: Final answer
    x = 16.62

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.