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Finding the Third Proportional to 279,998 and 407,997

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Solution

The third proportional to 279,998 and 407,997 is: 594,509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,998 : 407,997 = 407,997 : x
  2. Step 2: Convert to fraction form
    279,998/407,997 = 407,997/x
  3. Step 3: Cross multiply
    279,998x = 407,997 × 407,997
  4. Step 4: Simplify right side
    279,998x = 166,461,552,009
  5. Step 5: Solve for x
    x = 166,461,552,009/279,998
  6. Step 6: Final answer
    x = 594,509.79

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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.