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Finding the Third Proportional to 83,406 and 122,904

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Solution

The third proportional to 83,406 and 122,904 is: 181,106.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,406 : 122,904 = 122,904 : x
  2. Step 2: Convert to fraction form
    83,406/122,904 = 122,904/x
  3. Step 3: Cross multiply
    83,406x = 122,904 × 122,904
  4. Step 4: Simplify right side
    83,406x = 15,105,393,216
  5. Step 5: Solve for x
    x = 15,105,393,216/83,406
  6. Step 6: Final answer
    x = 181,106.79

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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.