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Finding the Third Proportional to 121,843 and 181,753

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Solution

The third proportional to 121,843 and 181,753 is: 271,120.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,843 : 181,753 = 181,753 : x
  2. Step 2: Convert to fraction form
    121,843/181,753 = 181,753/x
  3. Step 3: Cross multiply
    121,843x = 181,753 × 181,753
  4. Step 4: Simplify right side
    121,843x = 33,034,153,009
  5. Step 5: Solve for x
    x = 33,034,153,009/121,843
  6. Step 6: Final answer
    x = 271,120.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.