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Finding the Third Proportional to 319,401 and 494,477

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Solution

The third proportional to 319,401 and 494,477 is: 765,518.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,401 : 494,477 = 494,477 : x
  2. Step 2: Convert to fraction form
    319,401/494,477 = 494,477/x
  3. Step 3: Cross multiply
    319,401x = 494,477 × 494,477
  4. Step 4: Simplify right side
    319,401x = 244,507,503,529
  5. Step 5: Solve for x
    x = 244,507,503,529/319,401
  6. Step 6: Final answer
    x = 765,518.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.