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Finding the Third Proportional to 84,100 and 133,734

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Solution

The third proportional to 84,100 and 133,734 is: 212,660.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,100 : 133,734 = 133,734 : x
  2. Step 2: Convert to fraction form
    84,100/133,734 = 133,734/x
  3. Step 3: Cross multiply
    84,100x = 133,734 × 133,734
  4. Step 4: Simplify right side
    84,100x = 17,884,782,756
  5. Step 5: Solve for x
    x = 17,884,782,756/84,100
  6. Step 6: Final answer
    x = 212,660.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.