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Finding the Third Proportional to 279,401 and 603,442

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Solution

The third proportional to 279,401 and 603,442 is: 1,303,296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,401 : 603,442 = 603,442 : x
  2. Step 2: Convert to fraction form
    279,401/603,442 = 603,442/x
  3. Step 3: Cross multiply
    279,401x = 603,442 × 603,442
  4. Step 4: Simplify right side
    279,401x = 364,142,247,364
  5. Step 5: Solve for x
    x = 364,142,247,364/279,401
  6. Step 6: Final answer
    x = 1,303,296.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.