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Finding the Third Proportional to 155,958 and 222,273

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Solution

The third proportional to 155,958 and 222,273 is: 316,785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,958 : 222,273 = 222,273 : x
  2. Step 2: Convert to fraction form
    155,958/222,273 = 222,273/x
  3. Step 3: Cross multiply
    155,958x = 222,273 × 222,273
  4. Step 4: Simplify right side
    155,958x = 49,405,286,529
  5. Step 5: Solve for x
    x = 49,405,286,529/155,958
  6. Step 6: Final answer
    x = 316,785.84

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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.