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Finding the Third Proportional to 121,571.30 and 195,331.50

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Solution

The third proportional to 121,571.30 and 195,331.50 is: 313,843.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,571.30 : 195,331.50 = 195,331.50 : x
  2. Step 2: Convert to fraction form
    121,571.30/195,331.50 = 195,331.50/x
  3. Step 3: Cross multiply
    121,571.30x = 195,331.50 × 195,331.50
  4. Step 4: Simplify right side
    121,571.30x = 38,154,394,892.25
  5. Step 5: Solve for x
    x = 38,154,394,892.25/121,571.30
  6. Step 6: Final answer
    x = 313,843.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.