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Finding the Third Proportional to 57,120.75 and 83,729.25

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Solution

The third proportional to 57,120.75 and 83,729.25 is: 122,732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,120.75 : 83,729.25 = 83,729.25 : x
  2. Step 2: Convert to fraction form
    57,120.75/83,729.25 = 83,729.25/x
  3. Step 3: Cross multiply
    57,120.75x = 83,729.25 × 83,729.25
  4. Step 4: Simplify right side
    57,120.75x = 7,010,587,305.56
  5. Step 5: Solve for x
    x = 7,010,587,305.56/57,120.75
  6. Step 6: Final answer
    x = 122,732.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.