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Finding the Third Proportional to 218,871 and 479,268

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Solution

The third proportional to 218,871 and 479,268 is: 1,049,466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,871 : 479,268 = 479,268 : x
  2. Step 2: Convert to fraction form
    218,871/479,268 = 479,268/x
  3. Step 3: Cross multiply
    218,871x = 479,268 × 479,268
  4. Step 4: Simplify right side
    218,871x = 229,697,815,824
  5. Step 5: Solve for x
    x = 229,697,815,824/218,871
  6. Step 6: Final answer
    x = 1,049,466.65

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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.