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Finding the Third Proportional to 83,953 and 126,737

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Solution

The third proportional to 83,953 and 126,737 is: 191,324.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,953 : 126,737 = 126,737 : x
  2. Step 2: Convert to fraction form
    83,953/126,737 = 126,737/x
  3. Step 3: Cross multiply
    83,953x = 126,737 × 126,737
  4. Step 4: Simplify right side
    83,953x = 16,062,267,169
  5. Step 5: Solve for x
    x = 16,062,267,169/83,953
  6. Step 6: Final answer
    x = 191,324.52

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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.