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Finding the Third Proportional to 81,936 and 127,656

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Solution

The third proportional to 81,936 and 127,656 is: 198,887.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,936 : 127,656 = 127,656 : x
  2. Step 2: Convert to fraction form
    81,936/127,656 = 127,656/x
  3. Step 3: Cross multiply
    81,936x = 127,656 × 127,656
  4. Step 4: Simplify right side
    81,936x = 16,296,054,336
  5. Step 5: Solve for x
    x = 16,296,054,336/81,936
  6. Step 6: Final answer
    x = 198,887.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.