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Finding the Third Proportional to 12.59 and 26.86

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Solution

The third proportional to 12.59 and 26.86 is: 57.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.59 : 26.86 = 26.86 : x
  2. Step 2: Convert to fraction form
    12.59/26.86 = 26.86/x
  3. Step 3: Cross multiply
    12.59x = 26.86 × 26.86
  4. Step 4: Simplify right side
    12.59x = 721.43
  5. Step 5: Solve for x
    x = 721.43/12.59
  6. Step 6: Final answer
    x = 57.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.