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Finding the Third Proportional to 279,876 and 603,972

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Solution

The third proportional to 279,876 and 603,972 is: 1,303,370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,876 : 603,972 = 603,972 : x
  2. Step 2: Convert to fraction form
    279,876/603,972 = 603,972/x
  3. Step 3: Cross multiply
    279,876x = 603,972 × 603,972
  4. Step 4: Simplify right side
    279,876x = 364,782,176,784
  5. Step 5: Solve for x
    x = 364,782,176,784/279,876
  6. Step 6: Final answer
    x = 1,303,370.70

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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.