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Finding the Third Proportional to 330.38 and 726.15

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Solution

The third proportional to 330.38 and 726.15 is: 1,596.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.38 : 726.15 = 726.15 : x
  2. Step 2: Convert to fraction form
    330.38/726.15 = 726.15/x
  3. Step 3: Cross multiply
    330.38x = 726.15 × 726.15
  4. Step 4: Simplify right side
    330.38x = 527,297.23
  5. Step 5: Solve for x
    x = 527,297.23/330.38
  6. Step 6: Final answer
    x = 1,596.03

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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.