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Finding the Third Proportional to 22,389 and 47,439

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Solution

The third proportional to 22,389 and 47,439 is: 100,516.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,389 : 47,439 = 47,439 : x
  2. Step 2: Convert to fraction form
    22,389/47,439 = 47,439/x
  3. Step 3: Cross multiply
    22,389x = 47,439 × 47,439
  4. Step 4: Simplify right side
    22,389x = 2,250,458,721
  5. Step 5: Solve for x
    x = 2,250,458,721/22,389
  6. Step 6: Final answer
    x = 100,516.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.