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Finding the Third Proportional to 68,696 and 142,656

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Solution

The third proportional to 68,696 and 142,656 is: 296,243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,696 : 142,656 = 142,656 : x
  2. Step 2: Convert to fraction form
    68,696/142,656 = 142,656/x
  3. Step 3: Cross multiply
    68,696x = 142,656 × 142,656
  4. Step 4: Simplify right side
    68,696x = 20,350,734,336
  5. Step 5: Solve for x
    x = 20,350,734,336/68,696
  6. Step 6: Final answer
    x = 296,243.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.