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Finding the Third Proportional to 779.20 and 1,704.80

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Solution

The third proportional to 779.20 and 1,704.80 is: 3,729.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.20 : 1,704.80 = 1,704.80 : x
  2. Step 2: Convert to fraction form
    779.20/1,704.80 = 1,704.80/x
  3. Step 3: Cross multiply
    779.20x = 1,704.80 × 1,704.80
  4. Step 4: Simplify right side
    779.20x = 2,906,332.39
  5. Step 5: Solve for x
    x = 2,906,332.39/779.20
  6. Step 6: Final answer
    x = 3,729.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.