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Finding the Third Proportional to 10,691 and 15,825

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Solution

The third proportional to 10,691 and 15,825 is: 23,424.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691 : 15,825 = 15,825 : x
  2. Step 2: Convert to fraction form
    10,691/15,825 = 15,825/x
  3. Step 3: Cross multiply
    10,691x = 15,825 × 15,825
  4. Step 4: Simplify right side
    10,691x = 250,430,625
  5. Step 5: Solve for x
    x = 250,430,625/10,691
  6. Step 6: Final answer
    x = 23,424.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.