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Finding the Third Proportional to 1,378.27 and 2,873.29

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Solution

The third proportional to 1,378.27 and 2,873.29 is: 5,989.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.27 : 2,873.29 = 2,873.29 : x
  2. Step 2: Convert to fraction form
    1,378.27/2,873.29 = 2,873.29/x
  3. Step 3: Cross multiply
    1,378.27x = 2,873.29 × 2,873.29
  4. Step 4: Simplify right side
    1,378.27x = 8,255,767.59
  5. Step 5: Solve for x
    x = 8,255,767.59/1,378.27
  6. Step 6: Final answer
    x = 5,989.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.