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Finding the Third Proportional to 238,151 and 338,515

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Solution

The third proportional to 238,151 and 338,515 is: 481,175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,151 : 338,515 = 338,515 : x
  2. Step 2: Convert to fraction form
    238,151/338,515 = 338,515/x
  3. Step 3: Cross multiply
    238,151x = 338,515 × 338,515
  4. Step 4: Simplify right side
    238,151x = 114,592,405,225
  5. Step 5: Solve for x
    x = 114,592,405,225/238,151
  6. Step 6: Final answer
    x = 481,175.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.