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Finding the Third Proportional to 289,918 and 442,375

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Solution

The third proportional to 289,918 and 442,375 is: 675,003.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,918 : 442,375 = 442,375 : x
  2. Step 2: Convert to fraction form
    289,918/442,375 = 442,375/x
  3. Step 3: Cross multiply
    289,918x = 442,375 × 442,375
  4. Step 4: Simplify right side
    289,918x = 195,695,640,625
  5. Step 5: Solve for x
    x = 195,695,640,625/289,918
  6. Step 6: Final answer
    x = 675,003.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.