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Finding the Third Proportional to 269,328 and 398,784

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Solution

The third proportional to 269,328 and 398,784 is: 590,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,328 : 398,784 = 398,784 : x
  2. Step 2: Convert to fraction form
    269,328/398,784 = 398,784/x
  3. Step 3: Cross multiply
    269,328x = 398,784 × 398,784
  4. Step 4: Simplify right side
    269,328x = 159,028,678,656
  5. Step 5: Solve for x
    x = 159,028,678,656/269,328
  6. Step 6: Final answer
    x = 590,464.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.