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Finding the Third Proportional to 323,139 and 511,438

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Solution

The third proportional to 323,139 and 511,438 is: 809,462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,139 : 511,438 = 511,438 : x
  2. Step 2: Convert to fraction form
    323,139/511,438 = 511,438/x
  3. Step 3: Cross multiply
    323,139x = 511,438 × 511,438
  4. Step 4: Simplify right side
    323,139x = 261,568,827,844
  5. Step 5: Solve for x
    x = 261,568,827,844/323,139
  6. Step 6: Final answer
    x = 809,462.27

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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.