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Finding the Third Proportional to 14.32 and 31.28

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Solution

The third proportional to 14.32 and 31.28 is: 68.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.32 : 31.28 = 31.28 : x
  2. Step 2: Convert to fraction form
    14.32/31.28 = 31.28/x
  3. Step 3: Cross multiply
    14.32x = 31.28 × 31.28
  4. Step 4: Simplify right side
    14.32x = 978.73
  5. Step 5: Solve for x
    x = 978.73/14.32
  6. Step 6: Final answer
    x = 68.36

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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.