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Finding the Third Proportional to 120,816 and 199,674

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Solution

The third proportional to 120,816 and 199,674 is: 330,003.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,816 : 199,674 = 199,674 : x
  2. Step 2: Convert to fraction form
    120,816/199,674 = 199,674/x
  3. Step 3: Cross multiply
    120,816x = 199,674 × 199,674
  4. Step 4: Simplify right side
    120,816x = 39,869,706,276
  5. Step 5: Solve for x
    x = 39,869,706,276/120,816
  6. Step 6: Final answer
    x = 330,003.53

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.