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Finding the Third Proportional to 76,779 and 161,961

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Solution

The third proportional to 76,779 and 161,961 is: 341,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,779 : 161,961 = 161,961 : x
  2. Step 2: Convert to fraction form
    76,779/161,961 = 161,961/x
  3. Step 3: Cross multiply
    76,779x = 161,961 × 161,961
  4. Step 4: Simplify right side
    76,779x = 26,231,365,521
  5. Step 5: Solve for x
    x = 26,231,365,521/76,779
  6. Step 6: Final answer
    x = 341,647.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.