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Finding the Third Proportional to 323,134.31 and 511,431.47

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Solution

The third proportional to 323,134.31 and 511,431.47 is: 809,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,134.31 : 511,431.47 = 511,431.47 : x
  2. Step 2: Convert to fraction form
    323,134.31/511,431.47 = 511,431.47/x
  3. Step 3: Cross multiply
    323,134.31x = 511,431.47 × 511,431.47
  4. Step 4: Simplify right side
    323,134.31x = 261,562,147,227.78
  5. Step 5: Solve for x
    x = 261,562,147,227.78/323,134.31
  6. Step 6: Final answer
    x = 809,453.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.