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Finding the Third Proportional to 23,750 and 51,073

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Solution

The third proportional to 23,750 and 51,073 is: 109,829.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,750 : 51,073 = 51,073 : x
  2. Step 2: Convert to fraction form
    23,750/51,073 = 51,073/x
  3. Step 3: Cross multiply
    23,750x = 51,073 × 51,073
  4. Step 4: Simplify right side
    23,750x = 2,608,451,329
  5. Step 5: Solve for x
    x = 2,608,451,329/23,750
  6. Step 6: Final answer
    x = 109,829.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.