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Finding the Third Proportional to 109,278 and 239,994

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Solution

The third proportional to 109,278 and 239,994 is: 527,069.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,278 : 239,994 = 239,994 : x
  2. Step 2: Convert to fraction form
    109,278/239,994 = 239,994/x
  3. Step 3: Cross multiply
    109,278x = 239,994 × 239,994
  4. Step 4: Simplify right side
    109,278x = 57,597,120,036
  5. Step 5: Solve for x
    x = 57,597,120,036/109,278
  6. Step 6: Final answer
    x = 527,069.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.