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Finding the Third Proportional to 26.53 and 56.39

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Solution

The third proportional to 26.53 and 56.39 is: 119.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.53 : 56.39 = 56.39 : x
  2. Step 2: Convert to fraction form
    26.53/56.39 = 56.39/x
  3. Step 3: Cross multiply
    26.53x = 56.39 × 56.39
  4. Step 4: Simplify right side
    26.53x = 3,179.90
  5. Step 5: Solve for x
    x = 3,179.90/26.53
  6. Step 6: Final answer
    x = 119.85

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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.