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Finding the Third Proportional to 5,197.50 and 10,638

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Solution

The third proportional to 5,197.50 and 10,638 is: 21,773.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.50 : 10,638 = 10,638 : x
  2. Step 2: Convert to fraction form
    5,197.50/10,638 = 10,638/x
  3. Step 3: Cross multiply
    5,197.50x = 10,638 × 10,638
  4. Step 4: Simplify right side
    5,197.50x = 113,167,044
  5. Step 5: Solve for x
    x = 113,167,044/5,197.50
  6. Step 6: Final answer
    x = 21,773.36

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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.