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Finding the Third Proportional to 138,399.19 and 225,991.69

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Solution

The third proportional to 138,399.19 and 225,991.69 is: 369,021.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,399.19 : 225,991.69 = 225,991.69 : x
  2. Step 2: Convert to fraction form
    138,399.19/225,991.69 = 225,991.69/x
  3. Step 3: Cross multiply
    138,399.19x = 225,991.69 × 225,991.69
  4. Step 4: Simplify right side
    138,399.19x = 51,072,242,819.10
  5. Step 5: Solve for x
    x = 51,072,242,819.10/138,399.19
  6. Step 6: Final answer
    x = 369,021.26

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.