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Finding the Third Proportional to 22,438 and 33,711

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Solution

The third proportional to 22,438 and 33,711 is: 50,647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,438 : 33,711 = 33,711 : x
  2. Step 2: Convert to fraction form
    22,438/33,711 = 33,711/x
  3. Step 3: Cross multiply
    22,438x = 33,711 × 33,711
  4. Step 4: Simplify right side
    22,438x = 1,136,431,521
  5. Step 5: Solve for x
    x = 1,136,431,521/22,438
  6. Step 6: Final answer
    x = 50,647.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.