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Finding the Third Proportional to 38,570 and 80,212

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Solution

The third proportional to 38,570 and 80,212 is: 166,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,570 : 80,212 = 80,212 : x
  2. Step 2: Convert to fraction form
    38,570/80,212 = 80,212/x
  3. Step 3: Cross multiply
    38,570x = 80,212 × 80,212
  4. Step 4: Simplify right side
    38,570x = 6,433,964,944
  5. Step 5: Solve for x
    x = 6,433,964,944/38,570
  6. Step 6: Final answer
    x = 166,812.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.