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Finding the Third Proportional to 222,878 and 325,782

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Solution

The third proportional to 222,878 and 325,782 is: 476,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,878 : 325,782 = 325,782 : x
  2. Step 2: Convert to fraction form
    222,878/325,782 = 325,782/x
  3. Step 3: Cross multiply
    222,878x = 325,782 × 325,782
  4. Step 4: Simplify right side
    222,878x = 106,133,911,524
  5. Step 5: Solve for x
    x = 106,133,911,524/222,878
  6. Step 6: Final answer
    x = 476,197.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.