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Finding the Third Proportional to 263,904 and 407,712

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Solution

The third proportional to 263,904 and 407,712 is: 629,884.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,904 : 407,712 = 407,712 : x
  2. Step 2: Convert to fraction form
    263,904/407,712 = 407,712/x
  3. Step 3: Cross multiply
    263,904x = 407,712 × 407,712
  4. Step 4: Simplify right side
    263,904x = 166,229,074,944
  5. Step 5: Solve for x
    x = 166,229,074,944/263,904
  6. Step 6: Final answer
    x = 629,884.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.