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Finding the Third Proportional to 328.97 and 724.16

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Solution

The third proportional to 328.97 and 724.16 is: 1,594.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.97 : 724.16 = 724.16 : x
  2. Step 2: Convert to fraction form
    328.97/724.16 = 724.16/x
  3. Step 3: Cross multiply
    328.97x = 724.16 × 724.16
  4. Step 4: Simplify right side
    328.97x = 524,402.27
  5. Step 5: Solve for x
    x = 524,402.27/328.97
  6. Step 6: Final answer
    x = 1,594.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.