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Finding the Third Proportional to 330.84 and 496.30

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Solution

The third proportional to 330.84 and 496.30 is: 744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.84 : 496.30 = 496.30 : x
  2. Step 2: Convert to fraction form
    330.84/496.30 = 496.30/x
  3. Step 3: Cross multiply
    330.84x = 496.30 × 496.30
  4. Step 4: Simplify right side
    330.84x = 246,314.47
  5. Step 5: Solve for x
    x = 246,314.47/330.84
  6. Step 6: Final answer
    x = 744.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.