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Finding the Third Proportional to 218,745 and 477,018

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Solution

The third proportional to 218,745 and 477,018 is: 1,040,234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,745 : 477,018 = 477,018 : x
  2. Step 2: Convert to fraction form
    218,745/477,018 = 477,018/x
  3. Step 3: Cross multiply
    218,745x = 477,018 × 477,018
  4. Step 4: Simplify right side
    218,745x = 227,546,172,324
  5. Step 5: Solve for x
    x = 227,546,172,324/218,745
  6. Step 6: Final answer
    x = 1,040,234.85

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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.