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Finding the Third Proportional to 330.80 and 769.08

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Solution

The third proportional to 330.80 and 769.08 is: 1,788.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.80 : 769.08 = 769.08 : x
  2. Step 2: Convert to fraction form
    330.80/769.08 = 769.08/x
  3. Step 3: Cross multiply
    330.80x = 769.08 × 769.08
  4. Step 4: Simplify right side
    330.80x = 591,481.16
  5. Step 5: Solve for x
    x = 591,481.16/330.80
  6. Step 6: Final answer
    x = 1,788.05

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.