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Finding the Third Proportional to 14.55 and 31.29

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Solution

The third proportional to 14.55 and 31.29 is: 67.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.55 : 31.29 = 31.29 : x
  2. Step 2: Convert to fraction form
    14.55/31.29 = 31.29/x
  3. Step 3: Cross multiply
    14.55x = 31.29 × 31.29
  4. Step 4: Simplify right side
    14.55x = 979.01
  5. Step 5: Solve for x
    x = 979.01/14.55
  6. Step 6: Final answer
    x = 67.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.