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Finding the Third Proportional to 76,978 and 165,416

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Solution

The third proportional to 76,978 and 165,416 is: 355,458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,978 : 165,416 = 165,416 : x
  2. Step 2: Convert to fraction form
    76,978/165,416 = 165,416/x
  3. Step 3: Cross multiply
    76,978x = 165,416 × 165,416
  4. Step 4: Simplify right side
    76,978x = 27,362,453,056
  5. Step 5: Solve for x
    x = 27,362,453,056/76,978
  6. Step 6: Final answer
    x = 355,458.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.