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Finding the Third Proportional to 268,698 and 586,517

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Solution

The third proportional to 268,698 and 586,517 is: 1,280,255.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,698 : 586,517 = 586,517 : x
  2. Step 2: Convert to fraction form
    268,698/586,517 = 586,517/x
  3. Step 3: Cross multiply
    268,698x = 586,517 × 586,517
  4. Step 4: Simplify right side
    268,698x = 344,002,191,289
  5. Step 5: Solve for x
    x = 344,002,191,289/268,698
  6. Step 6: Final answer
    x = 1,280,255.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.