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Finding the Third Proportional to 511,400.25 and 767,100.38

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Solution

The third proportional to 511,400.25 and 767,100.38 is: 1,150,650.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,400.25 : 767,100.38 = 767,100.38 : x
  2. Step 2: Convert to fraction form
    511,400.25/767,100.38 = 767,100.38/x
  3. Step 3: Cross multiply
    511,400.25x = 767,100.38 × 767,100.38
  4. Step 4: Simplify right side
    511,400.25x = 588,442,985,325.14
  5. Step 5: Solve for x
    x = 588,442,985,325.14/511,400.25
  6. Step 6: Final answer
    x = 1,150,650.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.