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Finding the Third Proportional to 91,431 and 199,494

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Solution

The third proportional to 91,431 and 199,494 is: 435,277.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,431 : 199,494 = 199,494 : x
  2. Step 2: Convert to fraction form
    91,431/199,494 = 199,494/x
  3. Step 3: Cross multiply
    91,431x = 199,494 × 199,494
  4. Step 4: Simplify right side
    91,431x = 39,797,856,036
  5. Step 5: Solve for x
    x = 39,797,856,036/91,431
  6. Step 6: Final answer
    x = 435,277.49

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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.