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Finding the Third Proportional to 405,601.50 and 636,240.75

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Solution

The third proportional to 405,601.50 and 636,240.75 is: 998,029.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,601.50 : 636,240.75 = 636,240.75 : x
  2. Step 2: Convert to fraction form
    405,601.50/636,240.75 = 636,240.75/x
  3. Step 3: Cross multiply
    405,601.50x = 636,240.75 × 636,240.75
  4. Step 4: Simplify right side
    405,601.50x = 404,802,291,960.56
  5. Step 5: Solve for x
    x = 404,802,291,960.56/405,601.50
  6. Step 6: Final answer
    x = 998,029.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.