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Finding the Third Proportional to 156,983 and 339,868

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Solution

The third proportional to 156,983 and 339,868 is: 735,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,983 : 339,868 = 339,868 : x
  2. Step 2: Convert to fraction form
    156,983/339,868 = 339,868/x
  3. Step 3: Cross multiply
    156,983x = 339,868 × 339,868
  4. Step 4: Simplify right side
    156,983x = 115,510,257,424
  5. Step 5: Solve for x
    x = 115,510,257,424/156,983
  6. Step 6: Final answer
    x = 735,813.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.