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Finding the Third Proportional to 331,952 and 477,192

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Solution

The third proportional to 331,952 and 477,192 is: 685,979.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,952 : 477,192 = 477,192 : x
  2. Step 2: Convert to fraction form
    331,952/477,192 = 477,192/x
  3. Step 3: Cross multiply
    331,952x = 477,192 × 477,192
  4. Step 4: Simplify right side
    331,952x = 227,712,204,864
  5. Step 5: Solve for x
    x = 227,712,204,864/331,952
  6. Step 6: Final answer
    x = 685,979.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.