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Finding the Third Proportional to 96,501.38 and 136,125.56

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Solution

The third proportional to 96,501.38 and 136,125.56 is: 192,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,501.38 : 136,125.56 = 136,125.56 : x
  2. Step 2: Convert to fraction form
    96,501.38/136,125.56 = 136,125.56/x
  3. Step 3: Cross multiply
    96,501.38x = 136,125.56 × 136,125.56
  4. Step 4: Simplify right side
    96,501.38x = 18,530,168,765.94
  5. Step 5: Solve for x
    x = 18,530,168,765.94/96,501.38
  6. Step 6: Final answer
    x = 192,019.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.