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Finding the Third Proportional to 872.96 and 1,353.74

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Solution

The third proportional to 872.96 and 1,353.74 is: 2,099.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.96 : 1,353.74 = 1,353.74 : x
  2. Step 2: Convert to fraction form
    872.96/1,353.74 = 1,353.74/x
  3. Step 3: Cross multiply
    872.96x = 1,353.74 × 1,353.74
  4. Step 4: Simplify right side
    872.96x = 1,832,623.20
  5. Step 5: Solve for x
    x = 1,832,623.20/872.96
  6. Step 6: Final answer
    x = 2,099.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.