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Finding the Third Proportional to 511,300 and 800,322

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Solution

The third proportional to 511,300 and 800,322 is: 1,252,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,300 : 800,322 = 800,322 : x
  2. Step 2: Convert to fraction form
    511,300/800,322 = 800,322/x
  3. Step 3: Cross multiply
    511,300x = 800,322 × 800,322
  4. Step 4: Simplify right side
    511,300x = 640,515,303,684
  5. Step 5: Solve for x
    x = 640,515,303,684/511,300
  6. Step 6: Final answer
    x = 1,252,719.15

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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.