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Finding the Third Proportional to 222,086 and 291,579

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Solution

The third proportional to 222,086 and 291,579 is: 382,817.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,086 : 291,579 = 291,579 : x
  2. Step 2: Convert to fraction form
    222,086/291,579 = 291,579/x
  3. Step 3: Cross multiply
    222,086x = 291,579 × 291,579
  4. Step 4: Simplify right side
    222,086x = 85,018,313,241
  5. Step 5: Solve for x
    x = 85,018,313,241/222,086
  6. Step 6: Final answer
    x = 382,817.08

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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.