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Finding the Third Proportional to 91,197 and 189,641

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Solution

The third proportional to 91,197 and 189,641 is: 394,351.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,197 : 189,641 = 189,641 : x
  2. Step 2: Convert to fraction form
    91,197/189,641 = 189,641/x
  3. Step 3: Cross multiply
    91,197x = 189,641 × 189,641
  4. Step 4: Simplify right side
    91,197x = 35,963,708,881
  5. Step 5: Solve for x
    x = 35,963,708,881/91,197
  6. Step 6: Final answer
    x = 394,351.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.