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Finding the Third Proportional to 121,199 and 283,071.25

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Solution

The third proportional to 121,199 and 283,071.25 is: 661,138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,199 : 283,071.25 = 283,071.25 : x
  2. Step 2: Convert to fraction form
    121,199/283,071.25 = 283,071.25/x
  3. Step 3: Cross multiply
    121,199x = 283,071.25 × 283,071.25
  4. Step 4: Simplify right side
    121,199x = 80,129,332,576.56
  5. Step 5: Solve for x
    x = 80,129,332,576.56/121,199
  6. Step 6: Final answer
    x = 661,138.56

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.