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Finding the Third Proportional to 222,761 and 345,320

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Solution

The third proportional to 222,761 and 345,320 is: 535,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,761 : 345,320 = 345,320 : x
  2. Step 2: Convert to fraction form
    222,761/345,320 = 345,320/x
  3. Step 3: Cross multiply
    222,761x = 345,320 × 345,320
  4. Step 4: Simplify right side
    222,761x = 119,245,902,400
  5. Step 5: Solve for x
    x = 119,245,902,400/222,761
  6. Step 6: Final answer
    x = 535,308.70

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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.