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Finding the Third Proportional to 270,214 and 585,138

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Solution

The third proportional to 270,214 and 585,138 is: 1,267,093.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,214 : 585,138 = 585,138 : x
  2. Step 2: Convert to fraction form
    270,214/585,138 = 585,138/x
  3. Step 3: Cross multiply
    270,214x = 585,138 × 585,138
  4. Step 4: Simplify right side
    270,214x = 342,386,479,044
  5. Step 5: Solve for x
    x = 342,386,479,044/270,214
  6. Step 6: Final answer
    x = 1,267,093.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.