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Finding the Third Proportional to 5,252.50 and 10,775

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Solution

The third proportional to 5,252.50 and 10,775 is: 22,103.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.50 : 10,775 = 10,775 : x
  2. Step 2: Convert to fraction form
    5,252.50/10,775 = 10,775/x
  3. Step 3: Cross multiply
    5,252.50x = 10,775 × 10,775
  4. Step 4: Simplify right side
    5,252.50x = 116,100,625
  5. Step 5: Solve for x
    x = 116,100,625/5,252.50
  6. Step 6: Final answer
    x = 22,103.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.