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Finding the Third Proportional to 81,318.94 and 126,896.63

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Solution

The third proportional to 81,318.94 and 126,896.63 is: 198,019.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,318.94 : 126,896.63 = 126,896.63 : x
  2. Step 2: Convert to fraction form
    81,318.94/126,896.63 = 126,896.63/x
  3. Step 3: Cross multiply
    81,318.94x = 126,896.63 × 126,896.63
  4. Step 4: Simplify right side
    81,318.94x = 16,102,753,436.39
  5. Step 5: Solve for x
    x = 16,102,753,436.39/81,318.94
  6. Step 6: Final answer
    x = 198,019.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.