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Finding the Third Proportional to 83,398 and 122,891

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Solution

The third proportional to 83,398 and 122,891 is: 181,085.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,398 : 122,891 = 122,891 : x
  2. Step 2: Convert to fraction form
    83,398/122,891 = 122,891/x
  3. Step 3: Cross multiply
    83,398x = 122,891 × 122,891
  4. Step 4: Simplify right side
    83,398x = 15,102,197,881
  5. Step 5: Solve for x
    x = 15,102,197,881/83,398
  6. Step 6: Final answer
    x = 181,085.85

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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.