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Finding the Third Proportional to 279,996 and 407,994

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Solution

The third proportional to 279,996 and 407,994 is: 594,505.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,996 : 407,994 = 407,994 : x
  2. Step 2: Convert to fraction form
    279,996/407,994 = 407,994/x
  3. Step 3: Cross multiply
    279,996x = 407,994 × 407,994
  4. Step 4: Simplify right side
    279,996x = 166,459,104,036
  5. Step 5: Solve for x
    x = 166,459,104,036/279,996
  6. Step 6: Final answer
    x = 594,505.29

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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.