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Finding the Third Proportional to 330.33 and 494.58

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Solution

The third proportional to 330.33 and 494.58 is: 740.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.33 : 494.58 = 494.58 : x
  2. Step 2: Convert to fraction form
    330.33/494.58 = 494.58/x
  3. Step 3: Cross multiply
    330.33x = 494.58 × 494.58
  4. Step 4: Simplify right side
    330.33x = 244,607.52
  5. Step 5: Solve for x
    x = 244,607.52/330.33
  6. Step 6: Final answer
    x = 740.50

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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.