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Finding the Third Proportional to 121,422 and 247,660.50

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Solution

The third proportional to 121,422 and 247,660.50 is: 505,145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,422 : 247,660.50 = 247,660.50 : x
  2. Step 2: Convert to fraction form
    121,422/247,660.50 = 247,660.50/x
  3. Step 3: Cross multiply
    121,422x = 247,660.50 × 247,660.50
  4. Step 4: Simplify right side
    121,422x = 61,335,723,260.25
  5. Step 5: Solve for x
    x = 61,335,723,260.25/121,422
  6. Step 6: Final answer
    x = 505,145.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.