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Finding the Third Proportional to 3,290.50 and 4,523.75

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Solution

The third proportional to 3,290.50 and 4,523.75 is: 6,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.50 : 4,523.75 = 4,523.75 : x
  2. Step 2: Convert to fraction form
    3,290.50/4,523.75 = 4,523.75/x
  3. Step 3: Cross multiply
    3,290.50x = 4,523.75 × 4,523.75
  4. Step 4: Simplify right side
    3,290.50x = 20,464,314.06
  5. Step 5: Solve for x
    x = 20,464,314.06/3,290.50
  6. Step 6: Final answer
    x = 6,219.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.