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Finding the Third Proportional to 1,950.50 and 4,174.38

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Solution

The third proportional to 1,950.50 and 4,174.38 is: 8,933.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.50 : 4,174.38 = 4,174.38 : x
  2. Step 2: Convert to fraction form
    1,950.50/4,174.38 = 4,174.38/x
  3. Step 3: Cross multiply
    1,950.50x = 4,174.38 × 4,174.38
  4. Step 4: Simplify right side
    1,950.50x = 17,425,406.64
  5. Step 5: Solve for x
    x = 17,425,406.64/1,950.50
  6. Step 6: Final answer
    x = 8,933.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.