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Finding the Third Proportional to 327,191 and 490,787

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Solution

The third proportional to 327,191 and 490,787 is: 736,181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,191 : 490,787 = 490,787 : x
  2. Step 2: Convert to fraction form
    327,191/490,787 = 490,787/x
  3. Step 3: Cross multiply
    327,191x = 490,787 × 490,787
  4. Step 4: Simplify right side
    327,191x = 240,871,879,369
  5. Step 5: Solve for x
    x = 240,871,879,369/327,191
  6. Step 6: Final answer
    x = 736,181.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.