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Finding the Third Proportional to 324.42 and 721.93

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Solution

The third proportional to 324.42 and 721.93 is: 1,606.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.42 : 721.93 = 721.93 : x
  2. Step 2: Convert to fraction form
    324.42/721.93 = 721.93/x
  3. Step 3: Cross multiply
    324.42x = 721.93 × 721.93
  4. Step 4: Simplify right side
    324.42x = 521,188.11
  5. Step 5: Solve for x
    x = 521,188.11/324.42
  6. Step 6: Final answer
    x = 1,606.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.