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Finding the Third Proportional to 121,059 and 200,069

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Solution

The third proportional to 121,059 and 200,069 is: 330,645.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,059 : 200,069 = 200,069 : x
  2. Step 2: Convert to fraction form
    121,059/200,069 = 200,069/x
  3. Step 3: Cross multiply
    121,059x = 200,069 × 200,069
  4. Step 4: Simplify right side
    121,059x = 40,027,604,761
  5. Step 5: Solve for x
    x = 40,027,604,761/121,059
  6. Step 6: Final answer
    x = 330,645.43

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.