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Finding the Third Proportional to 3,281.77 and 7,093.20

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Solution

The third proportional to 3,281.77 and 7,093.20 is: 15,331.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.77 : 7,093.20 = 7,093.20 : x
  2. Step 2: Convert to fraction form
    3,281.77/7,093.20 = 7,093.20/x
  3. Step 3: Cross multiply
    3,281.77x = 7,093.20 × 7,093.20
  4. Step 4: Simplify right side
    3,281.77x = 50,313,419.74
  5. Step 5: Solve for x
    x = 50,313,419.74/3,281.77
  6. Step 6: Final answer
    x = 15,331.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.