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Finding the Third Proportional to 10.90 and 23.42

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Solution

The third proportional to 10.90 and 23.42 is: 50.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.90 : 23.42 = 23.42 : x
  2. Step 2: Convert to fraction form
    10.90/23.42 = 23.42/x
  3. Step 3: Cross multiply
    10.90x = 23.42 × 23.42
  4. Step 4: Simplify right side
    10.90x = 548.68
  5. Step 5: Solve for x
    x = 548.68/10.90
  6. Step 6: Final answer
    x = 50.35

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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.