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Finding the Third Proportional to 100,278 and 150,439

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Solution

The third proportional to 100,278 and 150,439 is: 225,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,278 : 150,439 = 150,439 : x
  2. Step 2: Convert to fraction form
    100,278/150,439 = 150,439/x
  3. Step 3: Cross multiply
    100,278x = 150,439 × 150,439
  4. Step 4: Simplify right side
    100,278x = 22,631,892,721
  5. Step 5: Solve for x
    x = 22,631,892,721/100,278
  6. Step 6: Final answer
    x = 225,691.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.