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Finding the Third Proportional to 26.50 and 39.31

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Solution

The third proportional to 26.50 and 39.31 is: 58.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.50 : 39.31 = 39.31 : x
  2. Step 2: Convert to fraction form
    26.50/39.31 = 39.31/x
  3. Step 3: Cross multiply
    26.50x = 39.31 × 39.31
  4. Step 4: Simplify right side
    26.50x = 1,545.47
  5. Step 5: Solve for x
    x = 1,545.47/26.50
  6. Step 6: Final answer
    x = 58.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.