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Finding the Third Proportional to 68,362 and 142,168

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Solution

The third proportional to 68,362 and 142,168 is: 295,657.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,362 : 142,168 = 142,168 : x
  2. Step 2: Convert to fraction form
    68,362/142,168 = 142,168/x
  3. Step 3: Cross multiply
    68,362x = 142,168 × 142,168
  4. Step 4: Simplify right side
    68,362x = 20,211,740,224
  5. Step 5: Solve for x
    x = 20,211,740,224/68,362
  6. Step 6: Final answer
    x = 295,657.53

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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.