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Finding the Third Proportional to 321.19 and 736.31

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Solution

The third proportional to 321.19 and 736.31 is: 1,687.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.19 : 736.31 = 736.31 : x
  2. Step 2: Convert to fraction form
    321.19/736.31 = 736.31/x
  3. Step 3: Cross multiply
    321.19x = 736.31 × 736.31
  4. Step 4: Simplify right side
    321.19x = 542,156.10
  5. Step 5: Solve for x
    x = 542,156.10/321.19
  6. Step 6: Final answer
    x = 1,687.97

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.