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Finding the Third Proportional to 154,679 and 339,238

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Solution

The third proportional to 154,679 and 339,238 is: 744,008.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,679 : 339,238 = 339,238 : x
  2. Step 2: Convert to fraction form
    154,679/339,238 = 339,238/x
  3. Step 3: Cross multiply
    154,679x = 339,238 × 339,238
  4. Step 4: Simplify right side
    154,679x = 115,082,420,644
  5. Step 5: Solve for x
    x = 115,082,420,644/154,679
  6. Step 6: Final answer
    x = 744,008.05

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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.