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Finding the Third Proportional to 20,544 and 31,722

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Solution

The third proportional to 20,544 and 31,722 is: 48,981.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,544 : 31,722 = 31,722 : x
  2. Step 2: Convert to fraction form
    20,544/31,722 = 31,722/x
  3. Step 3: Cross multiply
    20,544x = 31,722 × 31,722
  4. Step 4: Simplify right side
    20,544x = 1,006,285,284
  5. Step 5: Solve for x
    x = 1,006,285,284/20,544
  6. Step 6: Final answer
    x = 48,981.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.