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Finding the Third Proportional to 201,583.69 and 309,399.75

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Solution

The third proportional to 201,583.69 and 309,399.75 is: 474,880.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,583.69 : 309,399.75 = 309,399.75 : x
  2. Step 2: Convert to fraction form
    201,583.69/309,399.75 = 309,399.75/x
  3. Step 3: Cross multiply
    201,583.69x = 309,399.75 × 309,399.75
  4. Step 4: Simplify right side
    201,583.69x = 95,728,205,300.06
  5. Step 5: Solve for x
    x = 95,728,205,300.06/201,583.69
  6. Step 6: Final answer
    x = 474,880.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.