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Finding the Third Proportional to 121,859 and 181,770

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Solution

The third proportional to 121,859 and 181,770 is: 271,135.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,859 : 181,770 = 181,770 : x
  2. Step 2: Convert to fraction form
    121,859/181,770 = 181,770/x
  3. Step 3: Cross multiply
    121,859x = 181,770 × 181,770
  4. Step 4: Simplify right side
    121,859x = 33,040,332,900
  5. Step 5: Solve for x
    x = 33,040,332,900/121,859
  6. Step 6: Final answer
    x = 271,135.76

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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.