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Finding the Third Proportional to 91,907 and 199,082

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Solution

The third proportional to 91,907 and 199,082 is: 431,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,907 : 199,082 = 199,082 : x
  2. Step 2: Convert to fraction form
    91,907/199,082 = 199,082/x
  3. Step 3: Cross multiply
    91,907x = 199,082 × 199,082
  4. Step 4: Simplify right side
    91,907x = 39,633,642,724
  5. Step 5: Solve for x
    x = 39,633,642,724/91,907
  6. Step 6: Final answer
    x = 431,236.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.