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Finding the Third Proportional to 323.92 and 657.10

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Solution

The third proportional to 323.92 and 657.10 is: 1,332.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.92 : 657.10 = 657.10 : x
  2. Step 2: Convert to fraction form
    323.92/657.10 = 657.10/x
  3. Step 3: Cross multiply
    323.92x = 657.10 × 657.10
  4. Step 4: Simplify right side
    323.92x = 431,776.05
  5. Step 5: Solve for x
    x = 431,776.05/323.92
  6. Step 6: Final answer
    x = 1,332.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.