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Finding the Third Proportional to 20,439 and 31,253

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Solution

The third proportional to 20,439 and 31,253 is: 47,788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,439 : 31,253 = 31,253 : x
  2. Step 2: Convert to fraction form
    20,439/31,253 = 31,253/x
  3. Step 3: Cross multiply
    20,439x = 31,253 × 31,253
  4. Step 4: Simplify right side
    20,439x = 976,750,009
  5. Step 5: Solve for x
    x = 976,750,009/20,439
  6. Step 6: Final answer
    x = 47,788.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.