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Finding the Third Proportional to 10.15 and 23.68

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Solution

The third proportional to 10.15 and 23.68 is: 55.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.15 : 23.68 = 23.68 : x
  2. Step 2: Convert to fraction form
    10.15/23.68 = 23.68/x
  3. Step 3: Cross multiply
    10.15x = 23.68 × 23.68
  4. Step 4: Simplify right side
    10.15x = 560.91
  5. Step 5: Solve for x
    x = 560.91/10.15
  6. Step 6: Final answer
    x = 55.27

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.