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Finding the Third Proportional to 218,067 and 477,768

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Solution

The third proportional to 218,067 and 477,768 is: 1,046,752.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,067 : 477,768 = 477,768 : x
  2. Step 2: Convert to fraction form
    218,067/477,768 = 477,768/x
  3. Step 3: Cross multiply
    218,067x = 477,768 × 477,768
  4. Step 4: Simplify right side
    218,067x = 228,262,261,824
  5. Step 5: Solve for x
    x = 228,262,261,824/218,067
  6. Step 6: Final answer
    x = 1,046,752.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.