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Finding the Third Proportional to 68,716 and 149,182

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Solution

The third proportional to 68,716 and 149,182 is: 323,873.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,716 : 149,182 = 149,182 : x
  2. Step 2: Convert to fraction form
    68,716/149,182 = 149,182/x
  3. Step 3: Cross multiply
    68,716x = 149,182 × 149,182
  4. Step 4: Simplify right side
    68,716x = 22,255,269,124
  5. Step 5: Solve for x
    x = 22,255,269,124/68,716
  6. Step 6: Final answer
    x = 323,873.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.