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Finding the Third Proportional to 121,852.50 and 267,243.75

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Solution

The third proportional to 121,852.50 and 267,243.75 is: 586,112.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,852.50 : 267,243.75 = 267,243.75 : x
  2. Step 2: Convert to fraction form
    121,852.50/267,243.75 = 267,243.75/x
  3. Step 3: Cross multiply
    121,852.50x = 267,243.75 × 267,243.75
  4. Step 4: Simplify right side
    121,852.50x = 71,419,221,914.06
  5. Step 5: Solve for x
    x = 71,419,221,914.06/121,852.50
  6. Step 6: Final answer
    x = 586,112.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.