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Finding the Third Proportional to 91,869 and 197,816

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Solution

The third proportional to 91,869 and 197,816 is: 425,945.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,869 : 197,816 = 197,816 : x
  2. Step 2: Convert to fraction form
    91,869/197,816 = 197,816/x
  3. Step 3: Cross multiply
    91,869x = 197,816 × 197,816
  4. Step 4: Simplify right side
    91,869x = 39,131,169,856
  5. Step 5: Solve for x
    x = 39,131,169,856/91,869
  6. Step 6: Final answer
    x = 425,945.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.