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Finding the Third Proportional to 2,362.50 and 3,516.75

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Solution

The third proportional to 2,362.50 and 3,516.75 is: 5,234.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.50 : 3,516.75 = 3,516.75 : x
  2. Step 2: Convert to fraction form
    2,362.50/3,516.75 = 3,516.75/x
  3. Step 3: Cross multiply
    2,362.50x = 3,516.75 × 3,516.75
  4. Step 4: Simplify right side
    2,362.50x = 12,367,530.56
  5. Step 5: Solve for x
    x = 12,367,530.56/2,362.50
  6. Step 6: Final answer
    x = 5,234.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.