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Finding the Third Proportional to 106,525.13 and 222,906.94

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Solution

The third proportional to 106,525.13 and 222,906.94 is: 466,439.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,525.13 : 222,906.94 = 222,906.94 : x
  2. Step 2: Convert to fraction form
    106,525.13/222,906.94 = 222,906.94/x
  3. Step 3: Cross multiply
    106,525.13x = 222,906.94 × 222,906.94
  4. Step 4: Simplify right side
    106,525.13x = 49,687,502,785.63
  5. Step 5: Solve for x
    x = 49,687,502,785.63/106,525.13
  6. Step 6: Final answer
    x = 466,439.28

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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.