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Finding the Third Proportional to 10.42 and 22.65

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Solution

The third proportional to 10.42 and 22.65 is: 49.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.42 : 22.65 = 22.65 : x
  2. Step 2: Convert to fraction form
    10.42/22.65 = 22.65/x
  3. Step 3: Cross multiply
    10.42x = 22.65 × 22.65
  4. Step 4: Simplify right side
    10.42x = 513.10
  5. Step 5: Solve for x
    x = 513.10/10.42
  6. Step 6: Final answer
    x = 49.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.