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Finding the Third Proportional to 159,021 and 339,540

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Solution

The third proportional to 159,021 and 339,540 is: 724,982.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,021 : 339,540 = 339,540 : x
  2. Step 2: Convert to fraction form
    159,021/339,540 = 339,540/x
  3. Step 3: Cross multiply
    159,021x = 339,540 × 339,540
  4. Step 4: Simplify right side
    159,021x = 115,287,411,600
  5. Step 5: Solve for x
    x = 115,287,411,600/159,021
  6. Step 6: Final answer
    x = 724,982.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.