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Finding the Third Proportional to 3,615 and 5,422.50

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Solution

The third proportional to 3,615 and 5,422.50 is: 8,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615 : 5,422.50 = 5,422.50 : x
  2. Step 2: Convert to fraction form
    3,615/5,422.50 = 5,422.50/x
  3. Step 3: Cross multiply
    3,615x = 5,422.50 × 5,422.50
  4. Step 4: Simplify right side
    3,615x = 29,403,506.25
  5. Step 5: Solve for x
    x = 29,403,506.25/3,615
  6. Step 6: Final answer
    x = 8,133.75

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Similar ratio
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1.5x scale

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.