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Finding the Third Proportional to 121,074 and 239,055

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Solution

The third proportional to 121,074 and 239,055 is: 472,003.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,074 : 239,055 = 239,055 : x
  2. Step 2: Convert to fraction form
    121,074/239,055 = 239,055/x
  3. Step 3: Cross multiply
    121,074x = 239,055 × 239,055
  4. Step 4: Simplify right side
    121,074x = 57,147,293,025
  5. Step 5: Solve for x
    x = 57,147,293,025/121,074
  6. Step 6: Final answer
    x = 472,003.01

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.