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Finding the Third Proportional to 84,272 and 126,942

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Solution

The third proportional to 84,272 and 126,942 is: 191,217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,272 : 126,942 = 126,942 : x
  2. Step 2: Convert to fraction form
    84,272/126,942 = 126,942/x
  3. Step 3: Cross multiply
    84,272x = 126,942 × 126,942
  4. Step 4: Simplify right side
    84,272x = 16,114,271,364
  5. Step 5: Solve for x
    x = 16,114,271,364/84,272
  6. Step 6: Final answer
    x = 191,217.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.