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Finding the Third Proportional to 2,558.13 and 3,950.19

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Solution

The third proportional to 2,558.13 and 3,950.19 is: 6,099.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.13 : 3,950.19 = 3,950.19 : x
  2. Step 2: Convert to fraction form
    2,558.13/3,950.19 = 3,950.19/x
  3. Step 3: Cross multiply
    2,558.13x = 3,950.19 × 3,950.19
  4. Step 4: Simplify right side
    2,558.13x = 15,603,981.29
  5. Step 5: Solve for x
    x = 15,603,981.29/2,558.13
  6. Step 6: Final answer
    x = 6,099.77

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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.