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Finding the Third Proportional to 3,742.50 and 4,986.75

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Solution

The third proportional to 3,742.50 and 4,986.75 is: 6,644.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.50 : 4,986.75 = 4,986.75 : x
  2. Step 2: Convert to fraction form
    3,742.50/4,986.75 = 4,986.75/x
  3. Step 3: Cross multiply
    3,742.50x = 4,986.75 × 4,986.75
  4. Step 4: Simplify right side
    3,742.50x = 24,867,675.56
  5. Step 5: Solve for x
    x = 24,867,675.56/3,742.50
  6. Step 6: Final answer
    x = 6,644.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.