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Finding the Third Proportional to 121,311 and 193,779

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Solution

The third proportional to 121,311 and 193,779 is: 309,537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,311 : 193,779 = 193,779 : x
  2. Step 2: Convert to fraction form
    121,311/193,779 = 193,779/x
  3. Step 3: Cross multiply
    121,311x = 193,779 × 193,779
  4. Step 4: Simplify right side
    121,311x = 37,550,300,841
  5. Step 5: Solve for x
    x = 37,550,300,841/121,311
  6. Step 6: Final answer
    x = 309,537.48

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.