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Finding the Third Proportional to 778.99 and 1,704.66

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Solution

The third proportional to 778.99 and 1,704.66 is: 3,730.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.99 : 1,704.66 = 1,704.66 : x
  2. Step 2: Convert to fraction form
    778.99/1,704.66 = 1,704.66/x
  3. Step 3: Cross multiply
    778.99x = 1,704.66 × 1,704.66
  4. Step 4: Simplify right side
    778.99x = 2,905,852.93
  5. Step 5: Solve for x
    x = 2,905,852.93/778.99
  6. Step 6: Final answer
    x = 3,730.27

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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.