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Finding the Third Proportional to 50,964.38 and 103,620.38

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Solution

The third proportional to 50,964.38 and 103,620.38 is: 210,680.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,964.38 : 103,620.38 = 103,620.38 : x
  2. Step 2: Convert to fraction form
    50,964.38/103,620.38 = 103,620.38/x
  3. Step 3: Cross multiply
    50,964.38x = 103,620.38 × 103,620.38
  4. Step 4: Simplify right side
    50,964.38x = 10,737,182,115.14
  5. Step 5: Solve for x
    x = 10,737,182,115.14/50,964.38
  6. Step 6: Final answer
    x = 210,680.15

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.