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Finding the Third Proportional to 279,899 and 599,731

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Solution

The third proportional to 279,899 and 599,731 is: 1,285,025.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,899 : 599,731 = 599,731 : x
  2. Step 2: Convert to fraction form
    279,899/599,731 = 599,731/x
  3. Step 3: Cross multiply
    279,899x = 599,731 × 599,731
  4. Step 4: Simplify right side
    279,899x = 359,677,272,361
  5. Step 5: Solve for x
    x = 359,677,272,361/279,899
  6. Step 6: Final answer
    x = 1,285,025.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.