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Finding the Third Proportional to 152,975 and 336,238

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Solution

The third proportional to 152,975 and 336,238 is: 739,048.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,975 : 336,238 = 336,238 : x
  2. Step 2: Convert to fraction form
    152,975/336,238 = 336,238/x
  3. Step 3: Cross multiply
    152,975x = 336,238 × 336,238
  4. Step 4: Simplify right side
    152,975x = 113,055,992,644
  5. Step 5: Solve for x
    x = 113,055,992,644/152,975
  6. Step 6: Final answer
    x = 739,048.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.