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Finding the Third Proportional to 153,261 and 327,474

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Solution

The third proportional to 153,261 and 327,474 is: 699,716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,261 : 327,474 = 327,474 : x
  2. Step 2: Convert to fraction form
    153,261/327,474 = 327,474/x
  3. Step 3: Cross multiply
    153,261x = 327,474 × 327,474
  4. Step 4: Simplify right side
    153,261x = 107,239,220,676
  5. Step 5: Solve for x
    x = 107,239,220,676/153,261
  6. Step 6: Final answer
    x = 699,716.31

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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.