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Finding the Third Proportional to 120,199 and 186,860

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Solution

The third proportional to 120,199 and 186,860 is: 290,490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,199 : 186,860 = 186,860 : x
  2. Step 2: Convert to fraction form
    120,199/186,860 = 186,860/x
  3. Step 3: Cross multiply
    120,199x = 186,860 × 186,860
  4. Step 4: Simplify right side
    120,199x = 34,916,659,600
  5. Step 5: Solve for x
    x = 34,916,659,600/120,199
  6. Step 6: Final answer
    x = 290,490.43

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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.