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Finding the Third Proportional to 279,743 and 603,711

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Solution

The third proportional to 279,743 and 603,711 is: 1,302,863.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,743 : 603,711 = 603,711 : x
  2. Step 2: Convert to fraction form
    279,743/603,711 = 603,711/x
  3. Step 3: Cross multiply
    279,743x = 603,711 × 603,711
  4. Step 4: Simplify right side
    279,743x = 364,466,971,521
  5. Step 5: Solve for x
    x = 364,466,971,521/279,743
  6. Step 6: Final answer
    x = 1,302,863.60

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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.