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Finding the Third Proportional to 81,544 and 129,728

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Solution

The third proportional to 81,544 and 129,728 is: 206,383.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,544 : 129,728 = 129,728 : x
  2. Step 2: Convert to fraction form
    81,544/129,728 = 129,728/x
  3. Step 3: Cross multiply
    81,544x = 129,728 × 129,728
  4. Step 4: Simplify right side
    81,544x = 16,829,353,984
  5. Step 5: Solve for x
    x = 16,829,353,984/81,544
  6. Step 6: Final answer
    x = 206,383.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.