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Finding the Third Proportional to 81,936 and 117,000

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Solution

The third proportional to 81,936 and 117,000 is: 167,069.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,936 : 117,000 = 117,000 : x
  2. Step 2: Convert to fraction form
    81,936/117,000 = 117,000/x
  3. Step 3: Cross multiply
    81,936x = 117,000 × 117,000
  4. Step 4: Simplify right side
    81,936x = 13,689,000,000
  5. Step 5: Solve for x
    x = 13,689,000,000/81,936
  6. Step 6: Final answer
    x = 167,069.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.