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Finding the Third Proportional to 279,881 and 603,986

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Solution

The third proportional to 279,881 and 603,986 is: 1,303,407.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,881 : 603,986 = 603,986 : x
  2. Step 2: Convert to fraction form
    279,881/603,986 = 603,986/x
  3. Step 3: Cross multiply
    279,881x = 603,986 × 603,986
  4. Step 4: Simplify right side
    279,881x = 364,799,088,196
  5. Step 5: Solve for x
    x = 364,799,088,196/279,881
  6. Step 6: Final answer
    x = 1,303,407.83

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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.