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Finding the Third Proportional to 138,055 and 301,958

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Solution

The third proportional to 138,055 and 301,958 is: 660,451.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,055 : 301,958 = 301,958 : x
  2. Step 2: Convert to fraction form
    138,055/301,958 = 301,958/x
  3. Step 3: Cross multiply
    138,055x = 301,958 × 301,958
  4. Step 4: Simplify right side
    138,055x = 91,178,633,764
  5. Step 5: Solve for x
    x = 91,178,633,764/138,055
  6. Step 6: Final answer
    x = 660,451.51

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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.