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Finding the Third Proportional to 68,516 and 149,450

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Solution

The third proportional to 68,516 and 149,450 is: 325,986.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,516 : 149,450 = 149,450 : x
  2. Step 2: Convert to fraction form
    68,516/149,450 = 149,450/x
  3. Step 3: Cross multiply
    68,516x = 149,450 × 149,450
  4. Step 4: Simplify right side
    68,516x = 22,335,302,500
  5. Step 5: Solve for x
    x = 22,335,302,500/68,516
  6. Step 6: Final answer
    x = 325,986.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.