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Finding the Third Proportional to 218,751 and 477,030

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Solution

The third proportional to 218,751 and 477,030 is: 1,040,258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,751 : 477,030 = 477,030 : x
  2. Step 2: Convert to fraction form
    218,751/477,030 = 477,030/x
  3. Step 3: Cross multiply
    218,751x = 477,030 × 477,030
  4. Step 4: Simplify right side
    218,751x = 227,557,620,900
  5. Step 5: Solve for x
    x = 227,557,620,900/218,751
  6. Step 6: Final answer
    x = 1,040,258.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.