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Finding the Third Proportional to 109,809 and 239,756

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Solution

The third proportional to 109,809 and 239,756 is: 523,481.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,809 : 239,756 = 239,756 : x
  2. Step 2: Convert to fraction form
    109,809/239,756 = 239,756/x
  3. Step 3: Cross multiply
    109,809x = 239,756 × 239,756
  4. Step 4: Simplify right side
    109,809x = 57,482,939,536
  5. Step 5: Solve for x
    x = 57,482,939,536/109,809
  6. Step 6: Final answer
    x = 523,481.13

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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.