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Finding the Third Proportional to 1,324.31 and 2,856.81

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Solution

The third proportional to 1,324.31 and 2,856.81 is: 6,162.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.31 : 2,856.81 = 2,856.81 : x
  2. Step 2: Convert to fraction form
    1,324.31/2,856.81 = 2,856.81/x
  3. Step 3: Cross multiply
    1,324.31x = 2,856.81 × 2,856.81
  4. Step 4: Simplify right side
    1,324.31x = 8,161,377.66
  5. Step 5: Solve for x
    x = 8,161,377.66/1,324.31
  6. Step 6: Final answer
    x = 6,162.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.