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Finding the Third Proportional to 330.02 and 444.49

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Solution

The third proportional to 330.02 and 444.49 is: 598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.02 : 444.49 = 444.49 : x
  2. Step 2: Convert to fraction form
    330.02/444.49 = 444.49/x
  3. Step 3: Cross multiply
    330.02x = 444.49 × 444.49
  4. Step 4: Simplify right side
    330.02x = 197,573.30
  5. Step 5: Solve for x
    x = 197,573.30/330.02
  6. Step 6: Final answer
    x = 598.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.