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Finding the Third Proportional to 38,420 and 82,164

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Solution

The third proportional to 38,420 and 82,164 is: 175,713.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,420 : 82,164 = 82,164 : x
  2. Step 2: Convert to fraction form
    38,420/82,164 = 82,164/x
  3. Step 3: Cross multiply
    38,420x = 82,164 × 82,164
  4. Step 4: Simplify right side
    38,420x = 6,750,922,896
  5. Step 5: Solve for x
    x = 6,750,922,896/38,420
  6. Step 6: Final answer
    x = 175,713.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.