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Finding the Third Proportional to 511,940.25 and 689,173.31

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Solution

The third proportional to 511,940.25 and 689,173.31 is: 927,764.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,940.25 : 689,173.31 = 689,173.31 : x
  2. Step 2: Convert to fraction form
    511,940.25/689,173.31 = 689,173.31/x
  3. Step 3: Cross multiply
    511,940.25x = 689,173.31 × 689,173.31
  4. Step 4: Simplify right side
    511,940.25x = 474,959,854,662.22
  5. Step 5: Solve for x
    x = 474,959,854,662.22/511,940.25
  6. Step 6: Final answer
    x = 927,764.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.