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Finding the Third Proportional to 222,726 and 345,405

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Solution

The third proportional to 222,726 and 345,405 is: 535,656.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,726 : 345,405 = 345,405 : x
  2. Step 2: Convert to fraction form
    222,726/345,405 = 345,405/x
  3. Step 3: Cross multiply
    222,726x = 345,405 × 345,405
  4. Step 4: Simplify right side
    222,726x = 119,304,614,025
  5. Step 5: Solve for x
    x = 119,304,614,025/222,726
  6. Step 6: Final answer
    x = 535,656.43

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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.