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Finding the Third Proportional to 106,525.13 and 222,162.75

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Solution

The third proportional to 106,525.13 and 222,162.75 is: 463,330.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,525.13 : 222,162.75 = 222,162.75 : x
  2. Step 2: Convert to fraction form
    106,525.13/222,162.75 = 222,162.75/x
  3. Step 3: Cross multiply
    106,525.13x = 222,162.75 × 222,162.75
  4. Step 4: Simplify right side
    106,525.13x = 49,356,287,487.56
  5. Step 5: Solve for x
    x = 49,356,287,487.56/106,525.13
  6. Step 6: Final answer
    x = 463,330.01

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.