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Finding the Third Proportional to 91,621 and 198,908

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Solution

The third proportional to 91,621 and 198,908 is: 431,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,621 : 198,908 = 198,908 : x
  2. Step 2: Convert to fraction form
    91,621/198,908 = 198,908/x
  3. Step 3: Cross multiply
    91,621x = 198,908 × 198,908
  4. Step 4: Simplify right side
    91,621x = 39,564,392,464
  5. Step 5: Solve for x
    x = 39,564,392,464/91,621
  6. Step 6: Final answer
    x = 431,826.68

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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.