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Finding the Third Proportional to 14.53 and 31.59

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Solution

The third proportional to 14.53 and 31.59 is: 68.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.53 : 31.59 = 31.59 : x
  2. Step 2: Convert to fraction form
    14.53/31.59 = 31.59/x
  3. Step 3: Cross multiply
    14.53x = 31.59 × 31.59
  4. Step 4: Simplify right side
    14.53x = 998.17
  5. Step 5: Solve for x
    x = 998.17/14.53
  6. Step 6: Final answer
    x = 68.69

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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.