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Finding the Third Proportional to 2,950.50 and 4,009.13

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Solution

The third proportional to 2,950.50 and 4,009.13 is: 5,447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.50 : 4,009.13 = 4,009.13 : x
  2. Step 2: Convert to fraction form
    2,950.50/4,009.13 = 4,009.13/x
  3. Step 3: Cross multiply
    2,950.50x = 4,009.13 × 4,009.13
  4. Step 4: Simplify right side
    2,950.50x = 16,073,083.27
  5. Step 5: Solve for x
    x = 16,073,083.27/2,950.50
  6. Step 6: Final answer
    x = 5,447.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.