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Finding the Third Proportional to 222,915 and 480,822

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Solution

The third proportional to 222,915 and 480,822 is: 1,037,120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,915 : 480,822 = 480,822 : x
  2. Step 2: Convert to fraction form
    222,915/480,822 = 480,822/x
  3. Step 3: Cross multiply
    222,915x = 480,822 × 480,822
  4. Step 4: Simplify right side
    222,915x = 231,189,795,684
  5. Step 5: Solve for x
    x = 231,189,795,684/222,915
  6. Step 6: Final answer
    x = 1,037,120.86

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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.