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Finding the Third Proportional to 366,978 and 788,212

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Solution

The third proportional to 366,978 and 788,212 is: 1,692,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,978 : 788,212 = 788,212 : x
  2. Step 2: Convert to fraction form
    366,978/788,212 = 788,212/x
  3. Step 3: Cross multiply
    366,978x = 788,212 × 788,212
  4. Step 4: Simplify right side
    366,978x = 621,278,156,944
  5. Step 5: Solve for x
    x = 621,278,156,944/366,978
  6. Step 6: Final answer
    x = 1,692,957.50

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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.