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Finding the Third Proportional to 275,203 and 366,978

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Solution

The third proportional to 275,203 and 366,978 is: 489,358.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,203 : 366,978 = 366,978 : x
  2. Step 2: Convert to fraction form
    275,203/366,978 = 366,978/x
  3. Step 3: Cross multiply
    275,203x = 366,978 × 366,978
  4. Step 4: Simplify right side
    275,203x = 134,672,852,484
  5. Step 5: Solve for x
    x = 134,672,852,484/275,203
  6. Step 6: Final answer
    x = 489,358.23

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.