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Finding the Third Proportional to 338,022.50 and 505,980.75

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Solution

The third proportional to 338,022.50 and 505,980.75 is: 757,394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,022.50 : 505,980.75 = 505,980.75 : x
  2. Step 2: Convert to fraction form
    338,022.50/505,980.75 = 505,980.75/x
  3. Step 3: Cross multiply
    338,022.50x = 505,980.75 × 505,980.75
  4. Step 4: Simplify right side
    338,022.50x = 256,016,519,370.56
  5. Step 5: Solve for x
    x = 256,016,519,370.56/338,022.50
  6. Step 6: Final answer
    x = 757,394.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.