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Finding the Third Proportional to 15,518 and 20,751

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Solution

The third proportional to 15,518 and 20,751 is: 27,748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,518 : 20,751 = 20,751 : x
  2. Step 2: Convert to fraction form
    15,518/20,751 = 20,751/x
  3. Step 3: Cross multiply
    15,518x = 20,751 × 20,751
  4. Step 4: Simplify right side
    15,518x = 430,604,001
  5. Step 5: Solve for x
    x = 430,604,001/15,518
  6. Step 6: Final answer
    x = 27,748.68

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.