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Finding the Third Proportional to 268,715 and 585,814

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Solution

The third proportional to 268,715 and 585,814 is: 1,277,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,715 : 585,814 = 585,814 : x
  2. Step 2: Convert to fraction form
    268,715/585,814 = 585,814/x
  3. Step 3: Cross multiply
    268,715x = 585,814 × 585,814
  4. Step 4: Simplify right side
    268,715x = 343,178,042,596
  5. Step 5: Solve for x
    x = 343,178,042,596/268,715
  6. Step 6: Final answer
    x = 1,277,107.87

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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.