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Finding the Third Proportional to 221,448 and 480,408

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Solution

The third proportional to 221,448 and 480,408 is: 1,042,194.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,448 : 480,408 = 480,408 : x
  2. Step 2: Convert to fraction form
    221,448/480,408 = 480,408/x
  3. Step 3: Cross multiply
    221,448x = 480,408 × 480,408
  4. Step 4: Simplify right side
    221,448x = 230,791,846,464
  5. Step 5: Solve for x
    x = 230,791,846,464/221,448
  6. Step 6: Final answer
    x = 1,042,194.31

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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.