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Finding the Third Proportional to 120,930 and 181,859

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Solution

The third proportional to 120,930 and 181,859 is: 273,486.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,930 : 181,859 = 181,859 : x
  2. Step 2: Convert to fraction form
    120,930/181,859 = 181,859/x
  3. Step 3: Cross multiply
    120,930x = 181,859 × 181,859
  4. Step 4: Simplify right side
    120,930x = 33,072,695,881
  5. Step 5: Solve for x
    x = 33,072,695,881/120,930
  6. Step 6: Final answer
    x = 273,486.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.