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Finding the Third Proportional to 51,728 and 80,088

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Solution

The third proportional to 51,728 and 80,088 is: 123,996.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,728 : 80,088 = 80,088 : x
  2. Step 2: Convert to fraction form
    51,728/80,088 = 80,088/x
  3. Step 3: Cross multiply
    51,728x = 80,088 × 80,088
  4. Step 4: Simplify right side
    51,728x = 6,414,087,744
  5. Step 5: Solve for x
    x = 6,414,087,744/51,728
  6. Step 6: Final answer
    x = 123,996.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.