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Finding the Third Proportional to 156,104 and 335,901

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Solution

The third proportional to 156,104 and 335,901 is: 722,784.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,104 : 335,901 = 335,901 : x
  2. Step 2: Convert to fraction form
    156,104/335,901 = 335,901/x
  3. Step 3: Cross multiply
    156,104x = 335,901 × 335,901
  4. Step 4: Simplify right side
    156,104x = 112,829,481,801
  5. Step 5: Solve for x
    x = 112,829,481,801/156,104
  6. Step 6: Final answer
    x = 722,784.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.