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Finding the Third Proportional to 91,413 and 199,228

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Solution

The third proportional to 91,413 and 199,228 is: 434,202.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,413 : 199,228 = 199,228 : x
  2. Step 2: Convert to fraction form
    91,413/199,228 = 199,228/x
  3. Step 3: Cross multiply
    91,413x = 199,228 × 199,228
  4. Step 4: Simplify right side
    91,413x = 39,691,795,984
  5. Step 5: Solve for x
    x = 39,691,795,984/91,413
  6. Step 6: Final answer
    x = 434,202.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.