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Finding the Third Proportional to 222,532 and 478,243

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Solution

The third proportional to 222,532 and 478,243 is: 1,027,790.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,532 : 478,243 = 478,243 : x
  2. Step 2: Convert to fraction form
    222,532/478,243 = 478,243/x
  3. Step 3: Cross multiply
    222,532x = 478,243 × 478,243
  4. Step 4: Simplify right side
    222,532x = 228,716,367,049
  5. Step 5: Solve for x
    x = 228,716,367,049/222,532
  6. Step 6: Final answer
    x = 1,027,790.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.