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Finding the Third Proportional to 139,998 and 203,997

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Solution

The third proportional to 139,998 and 203,997 is: 297,252.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,998 : 203,997 = 203,997 : x
  2. Step 2: Convert to fraction form
    139,998/203,997 = 203,997/x
  3. Step 3: Cross multiply
    139,998x = 203,997 × 203,997
  4. Step 4: Simplify right side
    139,998x = 41,614,776,009
  5. Step 5: Solve for x
    x = 41,614,776,009/139,998
  6. Step 6: Final answer
    x = 297,252.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.