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Finding the Third Proportional to 305,424 and 490,968

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Solution

The third proportional to 305,424 and 490,968 is: 789,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,424 : 490,968 = 490,968 : x
  2. Step 2: Convert to fraction form
    305,424/490,968 = 490,968/x
  3. Step 3: Cross multiply
    305,424x = 490,968 × 490,968
  4. Step 4: Simplify right side
    305,424x = 241,049,577,024
  5. Step 5: Solve for x
    x = 241,049,577,024/305,424
  6. Step 6: Final answer
    x = 789,229.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.