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Finding the Third Proportional to 155,846 and 222,855

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Solution

The third proportional to 155,846 and 222,855 is: 318,675.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,846 : 222,855 = 222,855 : x
  2. Step 2: Convert to fraction form
    155,846/222,855 = 222,855/x
  3. Step 3: Cross multiply
    155,846x = 222,855 × 222,855
  4. Step 4: Simplify right side
    155,846x = 49,664,351,025
  5. Step 5: Solve for x
    x = 49,664,351,025/155,846
  6. Step 6: Final answer
    x = 318,675.81

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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.