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Finding the Third Proportional to 80,978 and 122,596

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Solution

The third proportional to 80,978 and 122,596 is: 185,603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,978 : 122,596 = 122,596 : x
  2. Step 2: Convert to fraction form
    80,978/122,596 = 122,596/x
  3. Step 3: Cross multiply
    80,978x = 122,596 × 122,596
  4. Step 4: Simplify right side
    80,978x = 15,029,779,216
  5. Step 5: Solve for x
    x = 15,029,779,216/80,978
  6. Step 6: Final answer
    x = 185,603.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.