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Finding the Third Proportional to 154,821 and 339,171

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Solution

The third proportional to 154,821 and 339,171 is: 743,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,821 : 339,171 = 339,171 : x
  2. Step 2: Convert to fraction form
    154,821/339,171 = 339,171/x
  3. Step 3: Cross multiply
    154,821x = 339,171 × 339,171
  4. Step 4: Simplify right side
    154,821x = 115,036,967,241
  5. Step 5: Solve for x
    x = 115,036,967,241/154,821
  6. Step 6: Final answer
    x = 743,032.06

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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.