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Finding the Third Proportional to 279,711 and 443,611

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Solution

The third proportional to 279,711 and 443,611 is: 703,550.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,711 : 443,611 = 443,611 : x
  2. Step 2: Convert to fraction form
    279,711/443,611 = 443,611/x
  3. Step 3: Cross multiply
    279,711x = 443,611 × 443,611
  4. Step 4: Simplify right side
    279,711x = 196,790,719,321
  5. Step 5: Solve for x
    x = 196,790,719,321/279,711
  6. Step 6: Final answer
    x = 703,550.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.