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Finding the Third Proportional to 38,356 and 81,680

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Solution

The third proportional to 38,356 and 81,680 is: 173,939.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,356 : 81,680 = 81,680 : x
  2. Step 2: Convert to fraction form
    38,356/81,680 = 81,680/x
  3. Step 3: Cross multiply
    38,356x = 81,680 × 81,680
  4. Step 4: Simplify right side
    38,356x = 6,671,622,400
  5. Step 5: Solve for x
    x = 6,671,622,400/38,356
  6. Step 6: Final answer
    x = 173,939.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.