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Finding the Third Proportional to 129,021.75 and 138,863.25

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Solution

The third proportional to 129,021.75 and 138,863.25 is: 149,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,021.75 : 138,863.25 = 138,863.25 : x
  2. Step 2: Convert to fraction form
    129,021.75/138,863.25 = 138,863.25/x
  3. Step 3: Cross multiply
    129,021.75x = 138,863.25 × 138,863.25
  4. Step 4: Simplify right side
    129,021.75x = 19,283,002,200.56
  5. Step 5: Solve for x
    x = 19,283,002,200.56/129,021.75
  6. Step 6: Final answer
    x = 149,455.44

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.