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Finding the Third Proportional to 222,818 and 331,491

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Solution

The third proportional to 222,818 and 331,491 is: 493,166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,818 : 331,491 = 331,491 : x
  2. Step 2: Convert to fraction form
    222,818/331,491 = 331,491/x
  3. Step 3: Cross multiply
    222,818x = 331,491 × 331,491
  4. Step 4: Simplify right side
    222,818x = 109,886,283,081
  5. Step 5: Solve for x
    x = 109,886,283,081/222,818
  6. Step 6: Final answer
    x = 493,166.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.