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Finding the Third Proportional to 120,203 and 186,866

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Solution

The third proportional to 120,203 and 186,866 is: 290,499.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,203 : 186,866 = 186,866 : x
  2. Step 2: Convert to fraction form
    120,203/186,866 = 186,866/x
  3. Step 3: Cross multiply
    120,203x = 186,866 × 186,866
  4. Step 4: Simplify right side
    120,203x = 34,918,901,956
  5. Step 5: Solve for x
    x = 34,918,901,956/120,203
  6. Step 6: Final answer
    x = 290,499.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.