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Finding the Third Proportional to 71,886 and 155,990

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Solution

The third proportional to 71,886 and 155,990 is: 338,492.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,886 : 155,990 = 155,990 : x
  2. Step 2: Convert to fraction form
    71,886/155,990 = 155,990/x
  3. Step 3: Cross multiply
    71,886x = 155,990 × 155,990
  4. Step 4: Simplify right side
    71,886x = 24,332,880,100
  5. Step 5: Solve for x
    x = 24,332,880,100/71,886
  6. Step 6: Final answer
    x = 338,492.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.