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Finding the Third Proportional to 156,150 and 335,979

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Solution

The third proportional to 156,150 and 335,979 is: 722,906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,150 : 335,979 = 335,979 : x
  2. Step 2: Convert to fraction form
    156,150/335,979 = 335,979/x
  3. Step 3: Cross multiply
    156,150x = 335,979 × 335,979
  4. Step 4: Simplify right side
    156,150x = 112,881,888,441
  5. Step 5: Solve for x
    x = 112,881,888,441/156,150
  6. Step 6: Final answer
    x = 722,906.75

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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.