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Finding the Third Proportional to 270,724 and 398,238

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Solution

The third proportional to 270,724 and 398,238 is: 585,812.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,724 : 398,238 = 398,238 : x
  2. Step 2: Convert to fraction form
    270,724/398,238 = 398,238/x
  3. Step 3: Cross multiply
    270,724x = 398,238 × 398,238
  4. Step 4: Simplify right side
    270,724x = 158,593,504,644
  5. Step 5: Solve for x
    x = 158,593,504,644/270,724
  6. Step 6: Final answer
    x = 585,812.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.