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Finding the Third Proportional to 120,790 and 199,636

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Solution

The third proportional to 120,790 and 199,636 is: 329,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,790 : 199,636 = 199,636 : x
  2. Step 2: Convert to fraction form
    120,790/199,636 = 199,636/x
  3. Step 3: Cross multiply
    120,790x = 199,636 × 199,636
  4. Step 4: Simplify right side
    120,790x = 39,854,532,496
  5. Step 5: Solve for x
    x = 39,854,532,496/120,790
  6. Step 6: Final answer
    x = 329,948.94

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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.