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Finding the Third Proportional to 307,899 and 490,305

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Solution

The third proportional to 307,899 and 490,305 is: 780,772.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,899 : 490,305 = 490,305 : x
  2. Step 2: Convert to fraction form
    307,899/490,305 = 490,305/x
  3. Step 3: Cross multiply
    307,899x = 490,305 × 490,305
  4. Step 4: Simplify right side
    307,899x = 240,398,993,025
  5. Step 5: Solve for x
    x = 240,398,993,025/307,899
  6. Step 6: Final answer
    x = 780,772.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.