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Finding the Third Proportional to 140,243 and 303,997

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Solution

The third proportional to 140,243 and 303,997 is: 658,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,243 : 303,997 = 303,997 : x
  2. Step 2: Convert to fraction form
    140,243/303,997 = 303,997/x
  3. Step 3: Cross multiply
    140,243x = 303,997 × 303,997
  4. Step 4: Simplify right side
    140,243x = 92,414,176,009
  5. Step 5: Solve for x
    x = 92,414,176,009/140,243
  6. Step 6: Final answer
    x = 658,957.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.