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Finding the Third Proportional to 2,562.05 and 3,950.86

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Solution

The third proportional to 2,562.05 and 3,950.86 is: 6,092.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.05 : 3,950.86 = 3,950.86 : x
  2. Step 2: Convert to fraction form
    2,562.05/3,950.86 = 3,950.86/x
  3. Step 3: Cross multiply
    2,562.05x = 3,950.86 × 3,950.86
  4. Step 4: Simplify right side
    2,562.05x = 15,609,289.80
  5. Step 5: Solve for x
    x = 15,609,289.80/2,562.05
  6. Step 6: Final answer
    x = 6,092.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.