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Finding the Third Proportional to 109,359 and 234,999

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Solution

The third proportional to 109,359 and 234,999 is: 504,983.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,359 : 234,999 = 234,999 : x
  2. Step 2: Convert to fraction form
    109,359/234,999 = 234,999/x
  3. Step 3: Cross multiply
    109,359x = 234,999 × 234,999
  4. Step 4: Simplify right side
    109,359x = 55,224,530,001
  5. Step 5: Solve for x
    x = 55,224,530,001/109,359
  6. Step 6: Final answer
    x = 504,983.86

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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.