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Finding the Third Proportional to 155,962 and 222,279

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Solution

The third proportional to 155,962 and 222,279 is: 316,794.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,962 : 222,279 = 222,279 : x
  2. Step 2: Convert to fraction form
    155,962/222,279 = 222,279/x
  3. Step 3: Cross multiply
    155,962x = 222,279 × 222,279
  4. Step 4: Simplify right side
    155,962x = 49,407,953,841
  5. Step 5: Solve for x
    x = 49,407,953,841/155,962
  6. Step 6: Final answer
    x = 316,794.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.