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Finding the Third Proportional to 181,221 and 384,366

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Solution

The third proportional to 181,221 and 384,366 is: 815,232.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,221 : 384,366 = 384,366 : x
  2. Step 2: Convert to fraction form
    181,221/384,366 = 384,366/x
  3. Step 3: Cross multiply
    181,221x = 384,366 × 384,366
  4. Step 4: Simplify right side
    181,221x = 147,737,221,956
  5. Step 5: Solve for x
    x = 147,737,221,956/181,221
  6. Step 6: Final answer
    x = 815,232.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.