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Finding the Third Proportional to 83,220 and 135,203

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Solution

The third proportional to 83,220 and 135,203 is: 219,656.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,220 : 135,203 = 135,203 : x
  2. Step 2: Convert to fraction form
    83,220/135,203 = 135,203/x
  3. Step 3: Cross multiply
    83,220x = 135,203 × 135,203
  4. Step 4: Simplify right side
    83,220x = 18,279,851,209
  5. Step 5: Solve for x
    x = 18,279,851,209/83,220
  6. Step 6: Final answer
    x = 219,656.95

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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.