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Finding the Third Proportional to 103,638 and 221,975

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Solution

The third proportional to 103,638 and 221,975 is: 475,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,638 : 221,975 = 221,975 : x
  2. Step 2: Convert to fraction form
    103,638/221,975 = 221,975/x
  3. Step 3: Cross multiply
    103,638x = 221,975 × 221,975
  4. Step 4: Simplify right side
    103,638x = 49,272,900,625
  5. Step 5: Solve for x
    x = 49,272,900,625/103,638
  6. Step 6: Final answer
    x = 475,432.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.