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Finding the Third Proportional to 3,313.72 and 7,135.28

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Solution

The third proportional to 3,313.72 and 7,135.28 is: 15,364.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.72 : 7,135.28 = 7,135.28 : x
  2. Step 2: Convert to fraction form
    3,313.72/7,135.28 = 7,135.28/x
  3. Step 3: Cross multiply
    3,313.72x = 7,135.28 × 7,135.28
  4. Step 4: Simplify right side
    3,313.72x = 50,912,182.77
  5. Step 5: Solve for x
    x = 50,912,182.77/3,313.72
  6. Step 6: Final answer
    x = 15,364.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.