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Finding the Third Proportional to 68,778 and 150,677

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Solution

The third proportional to 68,778 and 150,677 is: 330,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,778 : 150,677 = 150,677 : x
  2. Step 2: Convert to fraction form
    68,778/150,677 = 150,677/x
  3. Step 3: Cross multiply
    68,778x = 150,677 × 150,677
  4. Step 4: Simplify right side
    68,778x = 22,703,558,329
  5. Step 5: Solve for x
    x = 22,703,558,329/68,778
  6. Step 6: Final answer
    x = 330,099.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.