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Finding the Third Proportional to 17,809 and 26,439

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Solution

The third proportional to 17,809 and 26,439 is: 39,250.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,809 : 26,439 = 26,439 : x
  2. Step 2: Convert to fraction form
    17,809/26,439 = 26,439/x
  3. Step 3: Cross multiply
    17,809x = 26,439 × 26,439
  4. Step 4: Simplify right side
    17,809x = 699,020,721
  5. Step 5: Solve for x
    x = 699,020,721/17,809
  6. Step 6: Final answer
    x = 39,250.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.