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Finding the Third Proportional to 121,754.81 and 165,865.22

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Solution

The third proportional to 121,754.81 and 165,865.22 is: 225,956.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,754.81 : 165,865.22 = 165,865.22 : x
  2. Step 2: Convert to fraction form
    121,754.81/165,865.22 = 165,865.22/x
  3. Step 3: Cross multiply
    121,754.81x = 165,865.22 × 165,865.22
  4. Step 4: Simplify right side
    121,754.81x = 27,511,270,790.99
  5. Step 5: Solve for x
    x = 27,511,270,790.99/121,754.81
  6. Step 6: Final answer
    x = 225,956.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.