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Finding the Third Proportional to 279,456 and 603,381

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Solution

The third proportional to 279,456 and 603,381 is: 1,302,776.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,456 : 603,381 = 603,381 : x
  2. Step 2: Convert to fraction form
    279,456/603,381 = 603,381/x
  3. Step 3: Cross multiply
    279,456x = 603,381 × 603,381
  4. Step 4: Simplify right side
    279,456x = 364,068,631,161
  5. Step 5: Solve for x
    x = 364,068,631,161/279,456
  6. Step 6: Final answer
    x = 1,302,776.22

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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.