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Finding the Third Proportional to 376.13 and 872.81

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Solution

The third proportional to 376.13 and 872.81 is: 2,025.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.13 : 872.81 = 872.81 : x
  2. Step 2: Convert to fraction form
    376.13/872.81 = 872.81/x
  3. Step 3: Cross multiply
    376.13x = 872.81 × 872.81
  4. Step 4: Simplify right side
    376.13x = 761,801.66
  5. Step 5: Solve for x
    x = 761,801.66/376.13
  6. Step 6: Final answer
    x = 2,025.39

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.