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Finding the Third Proportional to 84,006 and 129,976

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Solution

The third proportional to 84,006 and 129,976 is: 201,101.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,006 : 129,976 = 129,976 : x
  2. Step 2: Convert to fraction form
    84,006/129,976 = 129,976/x
  3. Step 3: Cross multiply
    84,006x = 129,976 × 129,976
  4. Step 4: Simplify right side
    84,006x = 16,893,760,576
  5. Step 5: Solve for x
    x = 16,893,760,576/84,006
  6. Step 6: Final answer
    x = 201,101.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.