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Finding the Third Proportional to 397.88 and 872.44

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Solution

The third proportional to 397.88 and 872.44 is: 1,913.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.88 : 872.44 = 872.44 : x
  2. Step 2: Convert to fraction form
    397.88/872.44 = 872.44/x
  3. Step 3: Cross multiply
    397.88x = 872.44 × 872.44
  4. Step 4: Simplify right side
    397.88x = 761,147.19
  5. Step 5: Solve for x
    x = 761,147.19/397.88
  6. Step 6: Final answer
    x = 1,913.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.