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Finding the Third Proportional to 3,439.97 and 5,171.34

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Solution

The third proportional to 3,439.97 and 5,171.34 is: 7,774.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.97 : 5,171.34 = 5,171.34 : x
  2. Step 2: Convert to fraction form
    3,439.97/5,171.34 = 5,171.34/x
  3. Step 3: Cross multiply
    3,439.97x = 5,171.34 × 5,171.34
  4. Step 4: Simplify right side
    3,439.97x = 26,742,796.18
  5. Step 5: Solve for x
    x = 26,742,796.18/3,439.97
  6. Step 6: Final answer
    x = 7,774.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.