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Finding the Third Proportional to 100,644.75 and 219,375

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Solution

The third proportional to 100,644.75 and 219,375 is: 478,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,644.75 : 219,375 = 219,375 : x
  2. Step 2: Convert to fraction form
    100,644.75/219,375 = 219,375/x
  3. Step 3: Cross multiply
    100,644.75x = 219,375 × 219,375
  4. Step 4: Simplify right side
    100,644.75x = 48,125,390,625
  5. Step 5: Solve for x
    x = 48,125,390,625/100,644.75
  6. Step 6: Final answer
    x = 478,170.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.