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Finding the Third Proportional to 103,077 and 223,779

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Solution

The third proportional to 103,077 and 223,779 is: 485,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,077 : 223,779 = 223,779 : x
  2. Step 2: Convert to fraction form
    103,077/223,779 = 223,779/x
  3. Step 3: Cross multiply
    103,077x = 223,779 × 223,779
  4. Step 4: Simplify right side
    103,077x = 50,077,040,841
  5. Step 5: Solve for x
    x = 50,077,040,841/103,077
  6. Step 6: Final answer
    x = 485,821.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.