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Finding the Third Proportional to 71,903 and 108,857

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Solution

The third proportional to 71,903 and 108,857 is: 164,803.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,903 : 108,857 = 108,857 : x
  2. Step 2: Convert to fraction form
    71,903/108,857 = 108,857/x
  3. Step 3: Cross multiply
    71,903x = 108,857 × 108,857
  4. Step 4: Simplify right side
    71,903x = 11,849,846,449
  5. Step 5: Solve for x
    x = 11,849,846,449/71,903
  6. Step 6: Final answer
    x = 164,803.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.