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Finding the Third Proportional to 2,788.80 and 4,169.92

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Solution

The third proportional to 2,788.80 and 4,169.92 is: 6,235.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.80 : 4,169.92 = 4,169.92 : x
  2. Step 2: Convert to fraction form
    2,788.80/4,169.92 = 4,169.92/x
  3. Step 3: Cross multiply
    2,788.80x = 4,169.92 × 4,169.92
  4. Step 4: Simplify right side
    2,788.80x = 17,388,215.87
  5. Step 5: Solve for x
    x = 17,388,215.87/2,788.80
  6. Step 6: Final answer
    x = 6,235.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.