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Finding the Third Proportional to 89,969 and 128,163

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Solution

The third proportional to 89,969 and 128,163 is: 182,571.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,969 : 128,163 = 128,163 : x
  2. Step 2: Convert to fraction form
    89,969/128,163 = 128,163/x
  3. Step 3: Cross multiply
    89,969x = 128,163 × 128,163
  4. Step 4: Simplify right side
    89,969x = 16,425,754,569
  5. Step 5: Solve for x
    x = 16,425,754,569/89,969
  6. Step 6: Final answer
    x = 182,571.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.