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Finding the Third Proportional to 38,420 and 83,156

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Solution

The third proportional to 38,420 and 83,156 is: 179,982.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,420 : 83,156 = 83,156 : x
  2. Step 2: Convert to fraction form
    38,420/83,156 = 83,156/x
  3. Step 3: Cross multiply
    38,420x = 83,156 × 83,156
  4. Step 4: Simplify right side
    38,420x = 6,914,920,336
  5. Step 5: Solve for x
    x = 6,914,920,336/38,420
  6. Step 6: Final answer
    x = 179,982.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.