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Finding the Third Proportional to 279,797 and 599,515

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Solution

The third proportional to 279,797 and 599,515 is: 1,284,567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,797 : 599,515 = 599,515 : x
  2. Step 2: Convert to fraction form
    279,797/599,515 = 599,515/x
  3. Step 3: Cross multiply
    279,797x = 599,515 × 599,515
  4. Step 4: Simplify right side
    279,797x = 359,418,235,225
  5. Step 5: Solve for x
    x = 359,418,235,225/279,797
  6. Step 6: Final answer
    x = 1,284,567.87

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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.