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Finding the Third Proportional to 68,517 and 91,656

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Solution

The third proportional to 68,517 and 91,656 is: 122,609.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,517 : 91,656 = 91,656 : x
  2. Step 2: Convert to fraction form
    68,517/91,656 = 91,656/x
  3. Step 3: Cross multiply
    68,517x = 91,656 × 91,656
  4. Step 4: Simplify right side
    68,517x = 8,400,822,336
  5. Step 5: Solve for x
    x = 8,400,822,336/68,517
  6. Step 6: Final answer
    x = 122,609.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.