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Finding the Third Proportional to 3,928.50 and 6,010.88

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Solution

The third proportional to 3,928.50 and 6,010.88 is: 9,197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.50 : 6,010.88 = 6,010.88 : x
  2. Step 2: Convert to fraction form
    3,928.50/6,010.88 = 6,010.88/x
  3. Step 3: Cross multiply
    3,928.50x = 6,010.88 × 6,010.88
  4. Step 4: Simplify right side
    3,928.50x = 36,130,618.27
  5. Step 5: Solve for x
    x = 36,130,618.27/3,928.50
  6. Step 6: Final answer
    x = 9,197.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.