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Finding the Third Proportional to 121,408 and 247,635

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Solution

The third proportional to 121,408 and 247,635 is: 505,099.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,408 : 247,635 = 247,635 : x
  2. Step 2: Convert to fraction form
    121,408/247,635 = 247,635/x
  3. Step 3: Cross multiply
    121,408x = 247,635 × 247,635
  4. Step 4: Simplify right side
    121,408x = 61,323,093,225
  5. Step 5: Solve for x
    x = 61,323,093,225/121,408
  6. Step 6: Final answer
    x = 505,099.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.