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Finding the Third Proportional to 4,317.75 and 8,939.25

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Solution

The third proportional to 4,317.75 and 8,939.25 is: 18,507.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,317.75 : 8,939.25 = 8,939.25 : x
  2. Step 2: Convert to fraction form
    4,317.75/8,939.25 = 8,939.25/x
  3. Step 3: Cross multiply
    4,317.75x = 8,939.25 × 8,939.25
  4. Step 4: Simplify right side
    4,317.75x = 79,910,190.56
  5. Step 5: Solve for x
    x = 79,910,190.56/4,317.75
  6. Step 6: Final answer
    x = 18,507.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.