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Finding the Third Proportional to 87,429.75 and 135,019

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Solution

The third proportional to 87,429.75 and 135,019 is: 208,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,429.75 : 135,019 = 135,019 : x
  2. Step 2: Convert to fraction form
    87,429.75/135,019 = 135,019/x
  3. Step 3: Cross multiply
    87,429.75x = 135,019 × 135,019
  4. Step 4: Simplify right side
    87,429.75x = 18,230,130,361
  5. Step 5: Solve for x
    x = 18,230,130,361/87,429.75
  6. Step 6: Final answer
    x = 208,511.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.