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Finding the Third Proportional to 309,735.75 and 654,462.75

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Solution

The third proportional to 309,735.75 and 654,462.75 is: 1,382,861.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,735.75 : 654,462.75 = 654,462.75 : x
  2. Step 2: Convert to fraction form
    309,735.75/654,462.75 = 654,462.75/x
  3. Step 3: Cross multiply
    309,735.75x = 654,462.75 × 654,462.75
  4. Step 4: Simplify right side
    309,735.75x = 428,321,491,137.56
  5. Step 5: Solve for x
    x = 428,321,491,137.56/309,735.75
  6. Step 6: Final answer
    x = 1,382,861.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.