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Finding the Third Proportional to 3,986.72 and 5,856.68

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Solution

The third proportional to 3,986.72 and 5,856.68 is: 8,603.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.72 : 5,856.68 = 5,856.68 : x
  2. Step 2: Convert to fraction form
    3,986.72/5,856.68 = 5,856.68/x
  3. Step 3: Cross multiply
    3,986.72x = 5,856.68 × 5,856.68
  4. Step 4: Simplify right side
    3,986.72x = 34,300,696.96
  5. Step 5: Solve for x
    x = 34,300,696.96/3,986.72
  6. Step 6: Final answer
    x = 8,603.74

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