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Finding the Third Proportional to 227,739 and 339,768

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Solution

The third proportional to 227,739 and 339,768 is: 506,906.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,739 : 339,768 = 339,768 : x
  2. Step 2: Convert to fraction form
    227,739/339,768 = 339,768/x
  3. Step 3: Cross multiply
    227,739x = 339,768 × 339,768
  4. Step 4: Simplify right side
    227,739x = 115,442,293,824
  5. Step 5: Solve for x
    x = 115,442,293,824/227,739
  6. Step 6: Final answer
    x = 506,906.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.