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Finding the Third Proportional to 87,759 and 171,141

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Solution

The third proportional to 87,759 and 171,141 is: 333,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,759 : 171,141 = 171,141 : x
  2. Step 2: Convert to fraction form
    87,759/171,141 = 171,141/x
  3. Step 3: Cross multiply
    87,759x = 171,141 × 171,141
  4. Step 4: Simplify right side
    87,759x = 29,289,241,881
  5. Step 5: Solve for x
    x = 29,289,241,881/87,759
  6. Step 6: Final answer
    x = 333,746.30

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.