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Finding the Third Proportional to 89,645.63 and 193,122.56

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Solution

The third proportional to 89,645.63 and 193,122.56 is: 416,041.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,645.63 : 193,122.56 = 193,122.56 : x
  2. Step 2: Convert to fraction form
    89,645.63/193,122.56 = 193,122.56/x
  3. Step 3: Cross multiply
    89,645.63x = 193,122.56 × 193,122.56
  4. Step 4: Simplify right side
    89,645.63x = 37,296,324,146.57
  5. Step 5: Solve for x
    x = 37,296,324,146.57/89,645.63
  6. Step 6: Final answer
    x = 416,041.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.