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Finding the Third Proportional to 268,959 and 585,228

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Solution

The third proportional to 268,959 and 585,228 is: 1,273,397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,959 : 585,228 = 585,228 : x
  2. Step 2: Convert to fraction form
    268,959/585,228 = 585,228/x
  3. Step 3: Cross multiply
    268,959x = 585,228 × 585,228
  4. Step 4: Simplify right side
    268,959x = 342,491,811,984
  5. Step 5: Solve for x
    x = 342,491,811,984/268,959
  6. Step 6: Final answer
    x = 1,273,397.85

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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.