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Finding the Third Proportional to 26 and 56.31

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Solution

The third proportional to 26 and 56.31 is: 121.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26 : 56.31 = 56.31 : x
  2. Step 2: Convert to fraction form
    26/56.31 = 56.31/x
  3. Step 3: Cross multiply
    26x = 56.31 × 56.31
  4. Step 4: Simplify right side
    26x = 3,171.10
  5. Step 5: Solve for x
    x = 3,171.10/26
  6. Step 6: Final answer
    x = 121.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.