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Finding the Third Proportional to 83,220.75 and 135,205.03

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Solution

The third proportional to 83,220.75 and 135,205.03 is: 219,661.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,220.75 : 135,205.03 = 135,205.03 : x
  2. Step 2: Convert to fraction form
    83,220.75/135,205.03 = 135,205.03/x
  3. Step 3: Cross multiply
    83,220.75x = 135,205.03 × 135,205.03
  4. Step 4: Simplify right side
    83,220.75x = 18,280,400,475.31
  5. Step 5: Solve for x
    x = 18,280,400,475.31/83,220.75
  6. Step 6: Final answer
    x = 219,661.57

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.