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Finding the Third Proportional to 222,246 and 479,242

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Solution

The third proportional to 222,246 and 479,242 is: 1,033,417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,246 : 479,242 = 479,242 : x
  2. Step 2: Convert to fraction form
    222,246/479,242 = 479,242/x
  3. Step 3: Cross multiply
    222,246x = 479,242 × 479,242
  4. Step 4: Simplify right side
    222,246x = 229,672,894,564
  5. Step 5: Solve for x
    x = 229,672,894,564/222,246
  6. Step 6: Final answer
    x = 1,033,417.45

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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.