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Finding the Third Proportional to 121,012 and 192,195.50

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Solution

The third proportional to 121,012 and 192,195.50 is: 305,251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,012 : 192,195.50 = 192,195.50 : x
  2. Step 2: Convert to fraction form
    121,012/192,195.50 = 192,195.50/x
  3. Step 3: Cross multiply
    121,012x = 192,195.50 × 192,195.50
  4. Step 4: Simplify right side
    121,012x = 36,939,110,220.25
  5. Step 5: Solve for x
    x = 36,939,110,220.25/121,012
  6. Step 6: Final answer
    x = 305,251.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.