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Finding the Third Proportional to 378.28 and 872.72

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Solution

The third proportional to 378.28 and 872.72 is: 2,013.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.28 : 872.72 = 872.72 : x
  2. Step 2: Convert to fraction form
    378.28/872.72 = 872.72/x
  3. Step 3: Cross multiply
    378.28x = 872.72 × 872.72
  4. Step 4: Simplify right side
    378.28x = 761,638.02
  5. Step 5: Solve for x
    x = 761,638.02/378.28
  6. Step 6: Final answer
    x = 2,013.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.