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Finding the Third Proportional to 5,171.34 and 6,788.81

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Solution

The third proportional to 5,171.34 and 6,788.81 is: 8,912.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.34 : 6,788.81 = 6,788.81 : x
  2. Step 2: Convert to fraction form
    5,171.34/6,788.81 = 6,788.81/x
  3. Step 3: Cross multiply
    5,171.34x = 6,788.81 × 6,788.81
  4. Step 4: Simplify right side
    5,171.34x = 46,087,975.16
  5. Step 5: Solve for x
    x = 46,087,975.16/5,171.34
  6. Step 6: Final answer
    x = 8,912.19

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.