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Finding the Third Proportional to 121,560.75 and 261,847.69

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Solution

The third proportional to 121,560.75 and 261,847.69 is: 564,032.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,560.75 : 261,847.69 = 261,847.69 : x
  2. Step 2: Convert to fraction form
    121,560.75/261,847.69 = 261,847.69/x
  3. Step 3: Cross multiply
    121,560.75x = 261,847.69 × 261,847.69
  4. Step 4: Simplify right side
    121,560.75x = 68,564,211,449.10
  5. Step 5: Solve for x
    x = 68,564,211,449.10/121,560.75
  6. Step 6: Final answer
    x = 564,032.48

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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.