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Finding the Third Proportional to 238,256 and 511,059

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Solution

The third proportional to 238,256 and 511,059 is: 1,096,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,256 : 511,059 = 511,059 : x
  2. Step 2: Convert to fraction form
    238,256/511,059 = 511,059/x
  3. Step 3: Cross multiply
    238,256x = 511,059 × 511,059
  4. Step 4: Simplify right side
    238,256x = 261,181,301,481
  5. Step 5: Solve for x
    x = 261,181,301,481/238,256
  6. Step 6: Final answer
    x = 1,096,221.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.