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Finding the Third Proportional to 339,808 and 475,392

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Solution

The third proportional to 339,808 and 475,392 is: 665,074.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,808 : 475,392 = 475,392 : x
  2. Step 2: Convert to fraction form
    339,808/475,392 = 475,392/x
  3. Step 3: Cross multiply
    339,808x = 475,392 × 475,392
  4. Step 4: Simplify right side
    339,808x = 225,997,553,664
  5. Step 5: Solve for x
    x = 225,997,553,664/339,808
  6. Step 6: Final answer
    x = 665,074.26

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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.