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Finding the Third Proportional to 91,161 and 198,769

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Solution

The third proportional to 91,161 and 198,769 is: 433,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,161 : 198,769 = 198,769 : x
  2. Step 2: Convert to fraction form
    91,161/198,769 = 198,769/x
  3. Step 3: Cross multiply
    91,161x = 198,769 × 198,769
  4. Step 4: Simplify right side
    91,161x = 39,509,115,361
  5. Step 5: Solve for x
    x = 39,509,115,361/91,161
  6. Step 6: Final answer
    x = 433,399.32

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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.