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Finding the Third Proportional to 59,538.75 and 128,676.75

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Solution

The third proportional to 59,538.75 and 128,676.75 is: 278,099.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,538.75 : 128,676.75 = 128,676.75 : x
  2. Step 2: Convert to fraction form
    59,538.75/128,676.75 = 128,676.75/x
  3. Step 3: Cross multiply
    59,538.75x = 128,676.75 × 128,676.75
  4. Step 4: Simplify right side
    59,538.75x = 16,557,705,990.56
  5. Step 5: Solve for x
    x = 16,557,705,990.56/59,538.75
  6. Step 6: Final answer
    x = 278,099.66

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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.