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Finding the Third Proportional to 77,779 and 158,838

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Solution

The third proportional to 77,779 and 158,838 is: 324,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,779 : 158,838 = 158,838 : x
  2. Step 2: Convert to fraction form
    77,779/158,838 = 158,838/x
  3. Step 3: Cross multiply
    77,779x = 158,838 × 158,838
  4. Step 4: Simplify right side
    77,779x = 25,229,510,244
  5. Step 5: Solve for x
    x = 25,229,510,244/77,779
  6. Step 6: Final answer
    x = 324,374.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.