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Finding the Third Proportional to 71,919 and 159,558

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Solution

The third proportional to 71,919 and 159,558 is: 353,992.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,919 : 159,558 = 159,558 : x
  2. Step 2: Convert to fraction form
    71,919/159,558 = 159,558/x
  3. Step 3: Cross multiply
    71,919x = 159,558 × 159,558
  4. Step 4: Simplify right side
    71,919x = 25,458,755,364
  5. Step 5: Solve for x
    x = 25,458,755,364/71,919
  6. Step 6: Final answer
    x = 353,992.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.