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Finding the Third Proportional to 85,110 and 129,969

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Solution

The third proportional to 85,110 and 129,969 is: 198,471.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,110 : 129,969 = 129,969 : x
  2. Step 2: Convert to fraction form
    85,110/129,969 = 129,969/x
  3. Step 3: Cross multiply
    85,110x = 129,969 × 129,969
  4. Step 4: Simplify right side
    85,110x = 16,891,940,961
  5. Step 5: Solve for x
    x = 16,891,940,961/85,110
  6. Step 6: Final answer
    x = 198,471.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.