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Finding the Third Proportional to 14.24 and 31.15

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Solution

The third proportional to 14.24 and 31.15 is: 68.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.24 : 31.15 = 31.15 : x
  2. Step 2: Convert to fraction form
    14.24/31.15 = 31.15/x
  3. Step 3: Cross multiply
    14.24x = 31.15 × 31.15
  4. Step 4: Simplify right side
    14.24x = 970.09
  5. Step 5: Solve for x
    x = 970.09/14.24
  6. Step 6: Final answer
    x = 68.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.