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Finding the Third Proportional to 330.05 and 676.55

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Solution

The third proportional to 330.05 and 676.55 is: 1,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.05 : 676.55 = 676.55 : x
  2. Step 2: Convert to fraction form
    330.05/676.55 = 676.55/x
  3. Step 3: Cross multiply
    330.05x = 676.55 × 676.55
  4. Step 4: Simplify right side
    330.05x = 457,715.67
  5. Step 5: Solve for x
    x = 457,715.67/330.05
  6. Step 6: Final answer
    x = 1,386.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.