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Finding the Third Proportional to 50,546.34 and 108,193.02

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Solution

The third proportional to 50,546.34 and 108,193.02 is: 231,584.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,546.34 : 108,193.02 = 108,193.02 : x
  2. Step 2: Convert to fraction form
    50,546.34/108,193.02 = 108,193.02/x
  3. Step 3: Cross multiply
    50,546.34x = 108,193.02 × 108,193.02
  4. Step 4: Simplify right side
    50,546.34x = 11,705,728,630.03
  5. Step 5: Solve for x
    x = 11,705,728,630.03/50,546.34
  6. Step 6: Final answer
    x = 231,584.08

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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.