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Finding the Third Proportional to 120,780 and 199,620

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Solution

The third proportional to 120,780 and 199,620 is: 329,923.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,780 : 199,620 = 199,620 : x
  2. Step 2: Convert to fraction form
    120,780/199,620 = 199,620/x
  3. Step 3: Cross multiply
    120,780x = 199,620 × 199,620
  4. Step 4: Simplify right side
    120,780x = 39,848,144,400
  5. Step 5: Solve for x
    x = 39,848,144,400/120,780
  6. Step 6: Final answer
    x = 329,923.37

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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.