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Finding the Third Proportional to 366,978 and 561,407

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Solution

The third proportional to 366,978 and 561,407 is: 858,846.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,978 : 561,407 = 561,407 : x
  2. Step 2: Convert to fraction form
    366,978/561,407 = 561,407/x
  3. Step 3: Cross multiply
    366,978x = 561,407 × 561,407
  4. Step 4: Simplify right side
    366,978x = 315,177,819,649
  5. Step 5: Solve for x
    x = 315,177,819,649/366,978
  6. Step 6: Final answer
    x = 858,846.63

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.