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Finding the Third Proportional to 872.72 and 1,325.11

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Solution

The third proportional to 872.72 and 1,325.11 is: 2,012.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.72 : 1,325.11 = 1,325.11 : x
  2. Step 2: Convert to fraction form
    872.72/1,325.11 = 1,325.11/x
  3. Step 3: Cross multiply
    872.72x = 1,325.11 × 1,325.11
  4. Step 4: Simplify right side
    872.72x = 1,755,914.86
  5. Step 5: Solve for x
    x = 1,755,914.86/872.72
  6. Step 6: Final answer
    x = 2,012.01

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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.