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Finding the Third Proportional to 100,251 and 219,638

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Solution

The third proportional to 100,251 and 219,638 is: 481,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,251 : 219,638 = 219,638 : x
  2. Step 2: Convert to fraction form
    100,251/219,638 = 219,638/x
  3. Step 3: Cross multiply
    100,251x = 219,638 × 219,638
  4. Step 4: Simplify right side
    100,251x = 48,240,851,044
  5. Step 5: Solve for x
    x = 48,240,851,044/100,251
  6. Step 6: Final answer
    x = 481,200.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.