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Finding the Third Proportional to 239,496.75 and 511,515

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Solution

The third proportional to 239,496.75 and 511,515 is: 1,092,489.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,496.75 : 511,515 = 511,515 : x
  2. Step 2: Convert to fraction form
    239,496.75/511,515 = 511,515/x
  3. Step 3: Cross multiply
    239,496.75x = 511,515 × 511,515
  4. Step 4: Simplify right side
    239,496.75x = 261,647,595,225
  5. Step 5: Solve for x
    x = 261,647,595,225/239,496.75
  6. Step 6: Final answer
    x = 1,092,489.13

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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.