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Finding the Third Proportional to 83,211.19 and 135,190.69

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Solution

The third proportional to 83,211.19 and 135,190.69 is: 219,640.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,211.19 : 135,190.69 = 135,190.69 : x
  2. Step 2: Convert to fraction form
    83,211.19/135,190.69 = 135,190.69/x
  3. Step 3: Cross multiply
    83,211.19x = 135,190.69 × 135,190.69
  4. Step 4: Simplify right side
    83,211.19x = 18,276,521,986.72
  5. Step 5: Solve for x
    x = 18,276,521,986.72/83,211.19
  6. Step 6: Final answer
    x = 219,640.20

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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.