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Finding the Third Proportional to 38,747 and 83,144

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Solution

The third proportional to 38,747 and 83,144 is: 178,411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,747 : 83,144 = 83,144 : x
  2. Step 2: Convert to fraction form
    38,747/83,144 = 83,144/x
  3. Step 3: Cross multiply
    38,747x = 83,144 × 83,144
  4. Step 4: Simplify right side
    38,747x = 6,912,924,736
  5. Step 5: Solve for x
    x = 6,912,924,736/38,747
  6. Step 6: Final answer
    x = 178,411.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.