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Finding the Third Proportional to 10.80 and 22.87

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Solution

The third proportional to 10.80 and 22.87 is: 48.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.80 : 22.87 = 22.87 : x
  2. Step 2: Convert to fraction form
    10.80/22.87 = 22.87/x
  3. Step 3: Cross multiply
    10.80x = 22.87 × 22.87
  4. Step 4: Simplify right side
    10.80x = 523.00
  5. Step 5: Solve for x
    x = 523.00/10.80
  6. Step 6: Final answer
    x = 48.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.