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Finding the Third Proportional to 330.38 and 727.13

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Solution

The third proportional to 330.38 and 727.13 is: 1,600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.38 : 727.13 = 727.13 : x
  2. Step 2: Convert to fraction form
    330.38/727.13 = 727.13/x
  3. Step 3: Cross multiply
    330.38x = 727.13 × 727.13
  4. Step 4: Simplify right side
    330.38x = 528,710.77
  5. Step 5: Solve for x
    x = 528,710.77/330.38
  6. Step 6: Final answer
    x = 1,600.34

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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.