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Finding the Third Proportional to 10.98 and 22.42

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Solution

The third proportional to 10.98 and 22.42 is: 45.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.98 : 22.42 = 22.42 : x
  2. Step 2: Convert to fraction form
    10.98/22.42 = 22.42/x
  3. Step 3: Cross multiply
    10.98x = 22.42 × 22.42
  4. Step 4: Simplify right side
    10.98x = 502.78
  5. Step 5: Solve for x
    x = 502.78/10.98
  6. Step 6: Final answer
    x = 45.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.