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Finding the Third Proportional to 290,508.75 and 637,008.75

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Solution

The third proportional to 290,508.75 and 637,008.75 is: 1,396,791.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,508.75 : 637,008.75 = 637,008.75 : x
  2. Step 2: Convert to fraction form
    290,508.75/637,008.75 = 637,008.75/x
  3. Step 3: Cross multiply
    290,508.75x = 637,008.75 × 637,008.75
  4. Step 4: Simplify right side
    290,508.75x = 405,780,147,576.56
  5. Step 5: Solve for x
    x = 405,780,147,576.56/290,508.75
  6. Step 6: Final answer
    x = 1,396,791.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.