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Finding the Third Proportional to 279,384 and 603,408

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Solution

The third proportional to 279,384 and 603,408 is: 1,303,228.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,384 : 603,408 = 603,408 : x
  2. Step 2: Convert to fraction form
    279,384/603,408 = 603,408/x
  3. Step 3: Cross multiply
    279,384x = 603,408 × 603,408
  4. Step 4: Simplify right side
    279,384x = 364,101,214,464
  5. Step 5: Solve for x
    x = 364,101,214,464/279,384
  6. Step 6: Final answer
    x = 1,303,228.58

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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.