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Finding the Third Proportional to 68,696 and 108,860

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Solution

The third proportional to 68,696 and 108,860 is: 172,506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,696 : 108,860 = 108,860 : x
  2. Step 2: Convert to fraction form
    68,696/108,860 = 108,860/x
  3. Step 3: Cross multiply
    68,696x = 108,860 × 108,860
  4. Step 4: Simplify right side
    68,696x = 11,850,499,600
  5. Step 5: Solve for x
    x = 11,850,499,600/68,696
  6. Step 6: Final answer
    x = 172,506.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.