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Finding the Third Proportional to 260,388 and 393,375

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Solution

The third proportional to 260,388 and 393,375 is: 594,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,388 : 393,375 = 393,375 : x
  2. Step 2: Convert to fraction form
    260,388/393,375 = 393,375/x
  3. Step 3: Cross multiply
    260,388x = 393,375 × 393,375
  4. Step 4: Simplify right side
    260,388x = 154,743,890,625
  5. Step 5: Solve for x
    x = 154,743,890,625/260,388
  6. Step 6: Final answer
    x = 594,281.96

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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.