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Finding the Third Proportional to 13.02 and 22.47

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Solution

The third proportional to 13.02 and 22.47 is: 38.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.02 : 22.47 = 22.47 : x
  2. Step 2: Convert to fraction form
    13.02/22.47 = 22.47/x
  3. Step 3: Cross multiply
    13.02x = 22.47 × 22.47
  4. Step 4: Simplify right side
    13.02x = 505.00
  5. Step 5: Solve for x
    x = 505.00/13.02
  6. Step 6: Final answer
    x = 38.79

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.