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Finding the Third Proportional to 260,696 and 393,812

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Solution

The third proportional to 260,696 and 393,812 is: 594,899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,696 : 393,812 = 393,812 : x
  2. Step 2: Convert to fraction form
    260,696/393,812 = 393,812/x
  3. Step 3: Cross multiply
    260,696x = 393,812 × 393,812
  4. Step 4: Simplify right side
    260,696x = 155,087,891,344
  5. Step 5: Solve for x
    x = 155,087,891,344/260,696
  6. Step 6: Final answer
    x = 594,899.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.