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Finding the Third Proportional to 109,355 and 234,991

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Solution

The third proportional to 109,355 and 234,991 is: 504,967.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,355 : 234,991 = 234,991 : x
  2. Step 2: Convert to fraction form
    109,355/234,991 = 234,991/x
  3. Step 3: Cross multiply
    109,355x = 234,991 × 234,991
  4. Step 4: Simplify right side
    109,355x = 55,220,770,081
  5. Step 5: Solve for x
    x = 55,220,770,081/109,355
  6. Step 6: Final answer
    x = 504,967.95

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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.