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Finding the Third Proportional to 511,299 and 800,320.50

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Solution

The third proportional to 511,299 and 800,320.50 is: 1,252,716.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,299 : 800,320.50 = 800,320.50 : x
  2. Step 2: Convert to fraction form
    511,299/800,320.50 = 800,320.50/x
  3. Step 3: Cross multiply
    511,299x = 800,320.50 × 800,320.50
  4. Step 4: Simplify right side
    511,299x = 640,512,902,720.25
  5. Step 5: Solve for x
    x = 640,512,902,720.25/511,299
  6. Step 6: Final answer
    x = 1,252,716.91

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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.