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Finding the Third Proportional to 222,810 and 345,171

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Solution

The third proportional to 222,810 and 345,171 is: 534,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,810 : 345,171 = 345,171 : x
  2. Step 2: Convert to fraction form
    222,810/345,171 = 345,171/x
  3. Step 3: Cross multiply
    222,810x = 345,171 × 345,171
  4. Step 4: Simplify right side
    222,810x = 119,143,019,241
  5. Step 5: Solve for x
    x = 119,143,019,241/222,810
  6. Step 6: Final answer
    x = 534,729.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.