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Finding the Third Proportional to 104,779 and 214,400

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Solution

The third proportional to 104,779 and 214,400 is: 438,707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,779 : 214,400 = 214,400 : x
  2. Step 2: Convert to fraction form
    104,779/214,400 = 214,400/x
  3. Step 3: Cross multiply
    104,779x = 214,400 × 214,400
  4. Step 4: Simplify right side
    104,779x = 45,967,360,000
  5. Step 5: Solve for x
    x = 45,967,360,000/104,779
  6. Step 6: Final answer
    x = 438,707.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.