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Finding the Third Proportional to 96,163.66 and 222,601.47

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Solution

The third proportional to 96,163.66 and 222,601.47 is: 515,282.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,163.66 : 222,601.47 = 222,601.47 : x
  2. Step 2: Convert to fraction form
    96,163.66/222,601.47 = 222,601.47/x
  3. Step 3: Cross multiply
    96,163.66x = 222,601.47 × 222,601.47
  4. Step 4: Simplify right side
    96,163.66x = 49,551,413,128.81
  5. Step 5: Solve for x
    x = 49,551,413,128.81/96,163.66
  6. Step 6: Final answer
    x = 515,282.10

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.