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Finding the Third Proportional to 51,871 and 80,108

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Solution

The third proportional to 51,871 and 80,108 is: 123,716.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,871 : 80,108 = 80,108 : x
  2. Step 2: Convert to fraction form
    51,871/80,108 = 80,108/x
  3. Step 3: Cross multiply
    51,871x = 80,108 × 80,108
  4. Step 4: Simplify right side
    51,871x = 6,417,291,664
  5. Step 5: Solve for x
    x = 6,417,291,664/51,871
  6. Step 6: Final answer
    x = 123,716.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.