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Finding the Third Proportional to 323,268 and 511,623

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Solution

The third proportional to 323,268 and 511,623 is: 809,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,268 : 511,623 = 511,623 : x
  2. Step 2: Convert to fraction form
    323,268/511,623 = 511,623/x
  3. Step 3: Cross multiply
    323,268x = 511,623 × 511,623
  4. Step 4: Simplify right side
    323,268x = 261,758,094,129
  5. Step 5: Solve for x
    x = 261,758,094,129/323,268
  6. Step 6: Final answer
    x = 809,724.73

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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.