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Finding the Third Proportional to 13.02 and 23.86

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Solution

The third proportional to 13.02 and 23.86 is: 43.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.02 : 23.86 = 23.86 : x
  2. Step 2: Convert to fraction form
    13.02/23.86 = 23.86/x
  3. Step 3: Cross multiply
    13.02x = 23.86 × 23.86
  4. Step 4: Simplify right side
    13.02x = 569.46
  5. Step 5: Solve for x
    x = 569.46/13.02
  6. Step 6: Final answer
    x = 43.75

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.