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Finding the Third Proportional to 239,989 and 515,593

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Solution

The third proportional to 239,989 and 515,593 is: 1,107,701.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,989 : 515,593 = 515,593 : x
  2. Step 2: Convert to fraction form
    239,989/515,593 = 515,593/x
  3. Step 3: Cross multiply
    239,989x = 515,593 × 515,593
  4. Step 4: Simplify right side
    239,989x = 265,836,141,649
  5. Step 5: Solve for x
    x = 265,836,141,649/239,989
  6. Step 6: Final answer
    x = 1,107,701.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.