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Finding the Third Proportional to 84,686 and 129,945

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Solution

The third proportional to 84,686 and 129,945 is: 199,391.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,686 : 129,945 = 129,945 : x
  2. Step 2: Convert to fraction form
    84,686/129,945 = 129,945/x
  3. Step 3: Cross multiply
    84,686x = 129,945 × 129,945
  4. Step 4: Simplify right side
    84,686x = 16,885,703,025
  5. Step 5: Solve for x
    x = 16,885,703,025/84,686
  6. Step 6: Final answer
    x = 199,391.91

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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.