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Finding the Third Proportional to 222,104 and 324,862

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Solution

The third proportional to 222,104 and 324,862 is: 475,161.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,104 : 324,862 = 324,862 : x
  2. Step 2: Convert to fraction form
    222,104/324,862 = 324,862/x
  3. Step 3: Cross multiply
    222,104x = 324,862 × 324,862
  4. Step 4: Simplify right side
    222,104x = 105,535,319,044
  5. Step 5: Solve for x
    x = 105,535,319,044/222,104
  6. Step 6: Final answer
    x = 475,161.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.