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Finding the Third Proportional to 83,406 and 122,193

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Solution

The third proportional to 83,406 and 122,193 is: 179,017.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,406 : 122,193 = 122,193 : x
  2. Step 2: Convert to fraction form
    83,406/122,193 = 122,193/x
  3. Step 3: Cross multiply
    83,406x = 122,193 × 122,193
  4. Step 4: Simplify right side
    83,406x = 14,931,129,249
  5. Step 5: Solve for x
    x = 14,931,129,249/83,406
  6. Step 6: Final answer
    x = 179,017.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.