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Finding the Third Proportional to 121,578.75 and 261,883.69

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Solution

The third proportional to 121,578.75 and 261,883.69 is: 564,104.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,578.75 : 261,883.69 = 261,883.69 : x
  2. Step 2: Convert to fraction form
    121,578.75/261,883.69 = 261,883.69/x
  3. Step 3: Cross multiply
    121,578.75x = 261,883.69 × 261,883.69
  4. Step 4: Simplify right side
    121,578.75x = 68,583,065,778.60
  5. Step 5: Solve for x
    x = 68,583,065,778.60/121,578.75
  6. Step 6: Final answer
    x = 564,104.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.