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Finding the Third Proportional to 100,279 and 150,440

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Solution

The third proportional to 100,279 and 150,440 is: 225,692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,279 : 150,440 = 150,440 : x
  2. Step 2: Convert to fraction form
    100,279/150,440 = 150,440/x
  3. Step 3: Cross multiply
    100,279x = 150,440 × 150,440
  4. Step 4: Simplify right side
    100,279x = 22,632,193,600
  5. Step 5: Solve for x
    x = 22,632,193,600/100,279
  6. Step 6: Final answer
    x = 225,692.25

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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.