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Finding the Third Proportional to 269,336 and 398,792

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Solution

The third proportional to 269,336 and 398,792 is: 590,470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,336 : 398,792 = 398,792 : x
  2. Step 2: Convert to fraction form
    269,336/398,792 = 398,792/x
  3. Step 3: Cross multiply
    269,336x = 398,792 × 398,792
  4. Step 4: Simplify right side
    269,336x = 159,035,059,264
  5. Step 5: Solve for x
    x = 159,035,059,264/269,336
  6. Step 6: Final answer
    x = 590,470.86

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