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Finding the Third Proportional to 190,909 and 397,327

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Solution

The third proportional to 190,909 and 397,327 is: 826,931.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,909 : 397,327 = 397,327 : x
  2. Step 2: Convert to fraction form
    190,909/397,327 = 397,327/x
  3. Step 3: Cross multiply
    190,909x = 397,327 × 397,327
  4. Step 4: Simplify right side
    190,909x = 157,868,744,929
  5. Step 5: Solve for x
    x = 157,868,744,929/190,909
  6. Step 6: Final answer
    x = 826,931.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.