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Finding the Third Proportional to 154,296 and 338,136

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Solution

The third proportional to 154,296 and 338,136 is: 741,016.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,296 : 338,136 = 338,136 : x
  2. Step 2: Convert to fraction form
    154,296/338,136 = 338,136/x
  3. Step 3: Cross multiply
    154,296x = 338,136 × 338,136
  4. Step 4: Simplify right side
    154,296x = 114,335,954,496
  5. Step 5: Solve for x
    x = 114,335,954,496/154,296
  6. Step 6: Final answer
    x = 741,016.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.