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Finding the Third Proportional to 118,558 and 210,799

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Solution

The third proportional to 118,558 and 210,799 is: 374,805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,558 : 210,799 = 210,799 : x
  2. Step 2: Convert to fraction form
    118,558/210,799 = 210,799/x
  3. Step 3: Cross multiply
    118,558x = 210,799 × 210,799
  4. Step 4: Simplify right side
    118,558x = 44,436,218,401
  5. Step 5: Solve for x
    x = 44,436,218,401/118,558
  6. Step 6: Final answer
    x = 374,805.74

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.