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Finding the Third Proportional to 321,082 and 508,839

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Solution

The third proportional to 321,082 and 508,839 is: 806,389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,082 : 508,839 = 508,839 : x
  2. Step 2: Convert to fraction form
    321,082/508,839 = 508,839/x
  3. Step 3: Cross multiply
    321,082x = 508,839 × 508,839
  4. Step 4: Simplify right side
    321,082x = 258,917,127,921
  5. Step 5: Solve for x
    x = 258,917,127,921/321,082
  6. Step 6: Final answer
    x = 806,389.42

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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.