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Finding the Third Proportional to 69,138.56 and 148,786.88

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Solution

The third proportional to 69,138.56 and 148,786.88 is: 320,190.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,138.56 : 148,786.88 = 148,786.88 : x
  2. Step 2: Convert to fraction form
    69,138.56/148,786.88 = 148,786.88/x
  3. Step 3: Cross multiply
    69,138.56x = 148,786.88 × 148,786.88
  4. Step 4: Simplify right side
    69,138.56x = 22,137,534,172.27
  5. Step 5: Solve for x
    x = 22,137,534,172.27/69,138.56
  6. Step 6: Final answer
    x = 320,190.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.