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Finding the Third Proportional to 511,944.75 and 689,179.50

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Solution

The third proportional to 511,944.75 and 689,179.50 is: 927,772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,944.75 : 689,179.50 = 689,179.50 : x
  2. Step 2: Convert to fraction form
    511,944.75/689,179.50 = 689,179.50/x
  3. Step 3: Cross multiply
    511,944.75x = 689,179.50 × 689,179.50
  4. Step 4: Simplify right side
    511,944.75x = 474,968,383,220.25
  5. Step 5: Solve for x
    x = 474,968,383,220.25/511,944.75
  6. Step 6: Final answer
    x = 927,772.74

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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.