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Finding the Third Proportional to 3,745.97 and 8,139.94

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Solution

The third proportional to 3,745.97 and 8,139.94 is: 17,687.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.97 : 8,139.94 = 8,139.94 : x
  2. Step 2: Convert to fraction form
    3,745.97/8,139.94 = 8,139.94/x
  3. Step 3: Cross multiply
    3,745.97x = 8,139.94 × 8,139.94
  4. Step 4: Simplify right side
    3,745.97x = 66,258,582.50
  5. Step 5: Solve for x
    x = 66,258,582.50/3,745.97
  6. Step 6: Final answer
    x = 17,687.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.