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Finding the Third Proportional to 120,786 and 199,630

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Solution

The third proportional to 120,786 and 199,630 is: 329,940.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,786 : 199,630 = 199,630 : x
  2. Step 2: Convert to fraction form
    120,786/199,630 = 199,630/x
  3. Step 3: Cross multiply
    120,786x = 199,630 × 199,630
  4. Step 4: Simplify right side
    120,786x = 39,852,136,900
  5. Step 5: Solve for x
    x = 39,852,136,900/120,786
  6. Step 6: Final answer
    x = 329,940.03

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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.