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Finding the Third Proportional to 155,339 and 336,067

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Solution

The third proportional to 155,339 and 336,067 is: 727,061.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,339 : 336,067 = 336,067 : x
  2. Step 2: Convert to fraction form
    155,339/336,067 = 336,067/x
  3. Step 3: Cross multiply
    155,339x = 336,067 × 336,067
  4. Step 4: Simplify right side
    155,339x = 112,941,028,489
  5. Step 5: Solve for x
    x = 112,941,028,489/155,339
  6. Step 6: Final answer
    x = 727,061.64

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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.