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Finding the Third Proportional to 38,667 and 81,482

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Solution

The third proportional to 38,667 and 81,482 is: 171,704.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,667 : 81,482 = 81,482 : x
  2. Step 2: Convert to fraction form
    38,667/81,482 = 81,482/x
  3. Step 3: Cross multiply
    38,667x = 81,482 × 81,482
  4. Step 4: Simplify right side
    38,667x = 6,639,316,324
  5. Step 5: Solve for x
    x = 6,639,316,324/38,667
  6. Step 6: Final answer
    x = 171,704.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.