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Finding the Third Proportional to 339,915 and 476,497

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Solution

The third proportional to 339,915 and 476,497 is: 667,959.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,915 : 476,497 = 476,497 : x
  2. Step 2: Convert to fraction form
    339,915/476,497 = 476,497/x
  3. Step 3: Cross multiply
    339,915x = 476,497 × 476,497
  4. Step 4: Simplify right side
    339,915x = 227,049,391,009
  5. Step 5: Solve for x
    x = 227,049,391,009/339,915
  6. Step 6: Final answer
    x = 667,959.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.