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Finding the Third Proportional to 291,336.75 and 635,640.75

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Solution

The third proportional to 291,336.75 and 635,640.75 is: 1,386,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,336.75 : 635,640.75 = 635,640.75 : x
  2. Step 2: Convert to fraction form
    291,336.75/635,640.75 = 635,640.75/x
  3. Step 3: Cross multiply
    291,336.75x = 635,640.75 × 635,640.75
  4. Step 4: Simplify right side
    291,336.75x = 404,039,163,060.56
  5. Step 5: Solve for x
    x = 404,039,163,060.56/291,336.75
  6. Step 6: Final answer
    x = 1,386,845.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.