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Finding the Third Proportional to 222,962 and 480,754

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Solution

The third proportional to 222,962 and 480,754 is: 1,036,608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,962 : 480,754 = 480,754 : x
  2. Step 2: Convert to fraction form
    222,962/480,754 = 480,754/x
  3. Step 3: Cross multiply
    222,962x = 480,754 × 480,754
  4. Step 4: Simplify right side
    222,962x = 231,124,408,516
  5. Step 5: Solve for x
    x = 231,124,408,516/222,962
  6. Step 6: Final answer
    x = 1,036,608.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.