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Finding the Third Proportional to 138,606.75 and 222,396.75

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Solution

The third proportional to 138,606.75 and 222,396.75 is: 356,839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,606.75 : 222,396.75 = 222,396.75 : x
  2. Step 2: Convert to fraction form
    138,606.75/222,396.75 = 222,396.75/x
  3. Step 3: Cross multiply
    138,606.75x = 222,396.75 × 222,396.75
  4. Step 4: Simplify right side
    138,606.75x = 49,460,314,410.56
  5. Step 5: Solve for x
    x = 49,460,314,410.56/138,606.75
  6. Step 6: Final answer
    x = 356,839.15

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.