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Finding the Third Proportional to 156,933 and 339,938

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Solution

The third proportional to 156,933 and 339,938 is: 736,351.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,933 : 339,938 = 339,938 : x
  2. Step 2: Convert to fraction form
    156,933/339,938 = 339,938/x
  3. Step 3: Cross multiply
    156,933x = 339,938 × 339,938
  4. Step 4: Simplify right side
    156,933x = 115,557,843,844
  5. Step 5: Solve for x
    x = 115,557,843,844/156,933
  6. Step 6: Final answer
    x = 736,351.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.