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Finding the Third Proportional to 83,546.44 and 137,150.72

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Solution

The third proportional to 83,546.44 and 137,150.72 is: 225,148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,546.44 : 137,150.72 = 137,150.72 : x
  2. Step 2: Convert to fraction form
    83,546.44/137,150.72 = 137,150.72/x
  3. Step 3: Cross multiply
    83,546.44x = 137,150.72 × 137,150.72
  4. Step 4: Simplify right side
    83,546.44x = 18,810,319,653.64
  5. Step 5: Solve for x
    x = 18,810,319,653.64/83,546.44
  6. Step 6: Final answer
    x = 225,148.08

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.