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Finding the Third Proportional to 76,810 and 103,227

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Solution

The third proportional to 76,810 and 103,227 is: 138,729.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,810 : 103,227 = 103,227 : x
  2. Step 2: Convert to fraction form
    76,810/103,227 = 103,227/x
  3. Step 3: Cross multiply
    76,810x = 103,227 × 103,227
  4. Step 4: Simplify right side
    76,810x = 10,655,813,529
  5. Step 5: Solve for x
    x = 10,655,813,529/76,810
  6. Step 6: Final answer
    x = 138,729.51

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.