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Finding the Third Proportional to 81,684 and 131,592

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Solution

The third proportional to 81,684 and 131,592 is: 211,993.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,684 : 131,592 = 131,592 : x
  2. Step 2: Convert to fraction form
    81,684/131,592 = 131,592/x
  3. Step 3: Cross multiply
    81,684x = 131,592 × 131,592
  4. Step 4: Simplify right side
    81,684x = 17,316,454,464
  5. Step 5: Solve for x
    x = 17,316,454,464/81,684
  6. Step 6: Final answer
    x = 211,993.22

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.