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Finding the Third Proportional to 69,540.75 and 148,922.44

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Solution

The third proportional to 69,540.75 and 148,922.44 is: 318,919.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,540.75 : 148,922.44 = 148,922.44 : x
  2. Step 2: Convert to fraction form
    69,540.75/148,922.44 = 148,922.44/x
  3. Step 3: Cross multiply
    69,540.75x = 148,922.44 × 148,922.44
  4. Step 4: Simplify right side
    69,540.75x = 22,177,892,390.94
  5. Step 5: Solve for x
    x = 22,177,892,390.94/69,540.75
  6. Step 6: Final answer
    x = 318,919.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.