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Finding the Third Proportional to 80,272 and 127,212

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Solution

The third proportional to 80,272 and 127,212 is: 201,600.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,272 : 127,212 = 127,212 : x
  2. Step 2: Convert to fraction form
    80,272/127,212 = 127,212/x
  3. Step 3: Cross multiply
    80,272x = 127,212 × 127,212
  4. Step 4: Simplify right side
    80,272x = 16,182,892,944
  5. Step 5: Solve for x
    x = 16,182,892,944/80,272
  6. Step 6: Final answer
    x = 201,600.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.