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Finding the Third Proportional to 57,704.63 and 86,936.63

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Solution

The third proportional to 57,704.63 and 86,936.63 is: 130,976.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,704.63 : 86,936.63 = 86,936.63 : x
  2. Step 2: Convert to fraction form
    57,704.63/86,936.63 = 86,936.63/x
  3. Step 3: Cross multiply
    57,704.63x = 86,936.63 × 86,936.63
  4. Step 4: Simplify right side
    57,704.63x = 7,557,976,766.39
  5. Step 5: Solve for x
    x = 7,557,976,766.39/57,704.63
  6. Step 6: Final answer
    x = 130,976.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.