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Finding the Third Proportional to 221,378 and 479,448

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Solution

The third proportional to 221,378 and 479,448 is: 1,038,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,378 : 479,448 = 479,448 : x
  2. Step 2: Convert to fraction form
    221,378/479,448 = 479,448/x
  3. Step 3: Cross multiply
    221,378x = 479,448 × 479,448
  4. Step 4: Simplify right side
    221,378x = 229,870,384,704
  5. Step 5: Solve for x
    x = 229,870,384,704/221,378
  6. Step 6: Final answer
    x = 1,038,361.47

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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.