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Finding the Third Proportional to 367,878 and 494,370

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Solution

The third proportional to 367,878 and 494,370 is: 664,355.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,878 : 494,370 = 494,370 : x
  2. Step 2: Convert to fraction form
    367,878/494,370 = 494,370/x
  3. Step 3: Cross multiply
    367,878x = 494,370 × 494,370
  4. Step 4: Simplify right side
    367,878x = 244,401,696,900
  5. Step 5: Solve for x
    x = 244,401,696,900/367,878
  6. Step 6: Final answer
    x = 664,355.29

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.