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Finding the Third Proportional to 100,874 and 219,220

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Solution

The third proportional to 100,874 and 219,220 is: 476,410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,874 : 219,220 = 219,220 : x
  2. Step 2: Convert to fraction form
    100,874/219,220 = 219,220/x
  3. Step 3: Cross multiply
    100,874x = 219,220 × 219,220
  4. Step 4: Simplify right side
    100,874x = 48,057,408,400
  5. Step 5: Solve for x
    x = 48,057,408,400/100,874
  6. Step 6: Final answer
    x = 476,410.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.