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Finding the Third Proportional to 222,932 and 482,224

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Solution

The third proportional to 222,932 and 482,224 is: 1,043,098.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,932 : 482,224 = 482,224 : x
  2. Step 2: Convert to fraction form
    222,932/482,224 = 482,224/x
  3. Step 3: Cross multiply
    222,932x = 482,224 × 482,224
  4. Step 4: Simplify right side
    222,932x = 232,539,986,176
  5. Step 5: Solve for x
    x = 232,539,986,176/222,932
  6. Step 6: Final answer
    x = 1,043,098.28

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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.