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Finding the Third Proportional to 872.86 and 1,323.84

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Solution

The third proportional to 872.86 and 1,323.84 is: 2,007.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.86 : 1,323.84 = 1,323.84 : x
  2. Step 2: Convert to fraction form
    872.86/1,323.84 = 1,323.84/x
  3. Step 3: Cross multiply
    872.86x = 1,323.84 × 1,323.84
  4. Step 4: Simplify right side
    872.86x = 1,752,562.27
  5. Step 5: Solve for x
    x = 1,752,562.27/872.86
  6. Step 6: Final answer
    x = 2,007.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.