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Finding the Third Proportional to 121,182.75 and 261,724.50

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Solution

The third proportional to 121,182.75 and 261,724.50 is: 565,259.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,182.75 : 261,724.50 = 261,724.50 : x
  2. Step 2: Convert to fraction form
    121,182.75/261,724.50 = 261,724.50/x
  3. Step 3: Cross multiply
    121,182.75x = 261,724.50 × 261,724.50
  4. Step 4: Simplify right side
    121,182.75x = 68,499,713,900.25
  5. Step 5: Solve for x
    x = 68,499,713,900.25/121,182.75
  6. Step 6: Final answer
    x = 565,259.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.