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Finding the Third Proportional to 222,520 and 463,448

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Solution

The third proportional to 222,520 and 463,448 is: 965,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,520 : 463,448 = 463,448 : x
  2. Step 2: Convert to fraction form
    222,520/463,448 = 463,448/x
  3. Step 3: Cross multiply
    222,520x = 463,448 × 463,448
  4. Step 4: Simplify right side
    222,520x = 214,784,048,704
  5. Step 5: Solve for x
    x = 214,784,048,704/222,520
  6. Step 6: Final answer
    x = 965,234.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.