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Finding the Third Proportional to 156,974 and 339,219

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Solution

The third proportional to 156,974 and 339,219 is: 733,048.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,974 : 339,219 = 339,219 : x
  2. Step 2: Convert to fraction form
    156,974/339,219 = 339,219/x
  3. Step 3: Cross multiply
    156,974x = 339,219 × 339,219
  4. Step 4: Simplify right side
    156,974x = 115,069,529,961
  5. Step 5: Solve for x
    x = 115,069,529,961/156,974
  6. Step 6: Final answer
    x = 733,048.34

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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.