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Finding the Third Proportional to 85,108 and 129,966

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Solution

The third proportional to 85,108 and 129,966 is: 198,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,108 : 129,966 = 129,966 : x
  2. Step 2: Convert to fraction form
    85,108/129,966 = 129,966/x
  3. Step 3: Cross multiply
    85,108x = 129,966 × 129,966
  4. Step 4: Simplify right side
    85,108x = 16,891,161,156
  5. Step 5: Solve for x
    x = 16,891,161,156/85,108
  6. Step 6: Final answer
    x = 198,467.37

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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.