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Finding the Third Proportional to 222,290 and 291,963

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Solution

The third proportional to 222,290 and 291,963 is: 383,473.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,290 : 291,963 = 291,963 : x
  2. Step 2: Convert to fraction form
    222,290/291,963 = 291,963/x
  3. Step 3: Cross multiply
    222,290x = 291,963 × 291,963
  4. Step 4: Simplify right side
    222,290x = 85,242,393,369
  5. Step 5: Solve for x
    x = 85,242,393,369/222,290
  6. Step 6: Final answer
    x = 383,473.81

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.