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Finding the Third Proportional to 120,357 and 186,266

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Solution

The third proportional to 120,357 and 186,266 is: 288,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,357 : 186,266 = 186,266 : x
  2. Step 2: Convert to fraction form
    120,357/186,266 = 186,266/x
  3. Step 3: Cross multiply
    120,357x = 186,266 × 186,266
  4. Step 4: Simplify right side
    120,357x = 34,695,022,756
  5. Step 5: Solve for x
    x = 34,695,022,756/120,357
  6. Step 6: Final answer
    x = 288,267.59

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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.