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Finding the Third Proportional to 51,274 and 80,272

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Solution

The third proportional to 51,274 and 80,272 is: 125,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,274 : 80,272 = 80,272 : x
  2. Step 2: Convert to fraction form
    51,274/80,272 = 80,272/x
  3. Step 3: Cross multiply
    51,274x = 80,272 × 80,272
  4. Step 4: Simplify right side
    51,274x = 6,443,593,984
  5. Step 5: Solve for x
    x = 6,443,593,984/51,274
  6. Step 6: Final answer
    x = 125,669.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.