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Finding the Third Proportional to 138.74 and 321.23

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Solution

The third proportional to 138.74 and 321.23 is: 743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.74 : 321.23 = 321.23 : x
  2. Step 2: Convert to fraction form
    138.74/321.23 = 321.23/x
  3. Step 3: Cross multiply
    138.74x = 321.23 × 321.23
  4. Step 4: Simplify right side
    138.74x = 103,189.64
  5. Step 5: Solve for x
    x = 103,189.64/138.74
  6. Step 6: Final answer
    x = 743.74

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.