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Finding the Third Proportional to 222,722 and 485,643

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Solution

The third proportional to 222,722 and 485,643 is: 1,058,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,722 : 485,643 = 485,643 : x
  2. Step 2: Convert to fraction form
    222,722/485,643 = 485,643/x
  3. Step 3: Cross multiply
    222,722x = 485,643 × 485,643
  4. Step 4: Simplify right side
    222,722x = 235,849,123,449
  5. Step 5: Solve for x
    x = 235,849,123,449/222,722
  6. Step 6: Final answer
    x = 1,058,939.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.