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Finding the Third Proportional to 69,500 and 149,808

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Solution

The third proportional to 69,500 and 149,808 is: 322,912.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,500 : 149,808 = 149,808 : x
  2. Step 2: Convert to fraction form
    69,500/149,808 = 149,808/x
  3. Step 3: Cross multiply
    69,500x = 149,808 × 149,808
  4. Step 4: Simplify right side
    69,500x = 22,442,436,864
  5. Step 5: Solve for x
    x = 22,442,436,864/69,500
  6. Step 6: Final answer
    x = 322,912.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.