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Finding the Third Proportional to 222,238 and 479,226

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Solution

The third proportional to 222,238 and 479,226 is: 1,033,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,238 : 479,226 = 479,226 : x
  2. Step 2: Convert to fraction form
    222,238/479,226 = 479,226/x
  3. Step 3: Cross multiply
    222,238x = 479,226 × 479,226
  4. Step 4: Simplify right side
    222,238x = 229,657,559,076
  5. Step 5: Solve for x
    x = 229,657,559,076/222,238
  6. Step 6: Final answer
    x = 1,033,385.65

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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.