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Finding the Third Proportional to 393,645 and 844,611

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Solution

The third proportional to 393,645 and 844,611 is: 1,812,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,645 : 844,611 = 844,611 : x
  2. Step 2: Convert to fraction form
    393,645/844,611 = 844,611/x
  3. Step 3: Cross multiply
    393,645x = 844,611 × 844,611
  4. Step 4: Simplify right side
    393,645x = 713,367,741,321
  5. Step 5: Solve for x
    x = 713,367,741,321/393,645
  6. Step 6: Final answer
    x = 1,812,210.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.