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Finding the Third Proportional to 85,908 and 129,021

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Solution

The third proportional to 85,908 and 129,021 is: 193,770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,908 : 129,021 = 129,021 : x
  2. Step 2: Convert to fraction form
    85,908/129,021 = 129,021/x
  3. Step 3: Cross multiply
    85,908x = 129,021 × 129,021
  4. Step 4: Simplify right side
    85,908x = 16,646,418,441
  5. Step 5: Solve for x
    x = 16,646,418,441/85,908
  6. Step 6: Final answer
    x = 193,770.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.