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Finding the Third Proportional to 305,300 and 449,116

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Solution

The third proportional to 305,300 and 449,116 is: 660,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,300 : 449,116 = 449,116 : x
  2. Step 2: Convert to fraction form
    305,300/449,116 = 449,116/x
  3. Step 3: Cross multiply
    305,300x = 449,116 × 449,116
  4. Step 4: Simplify right side
    305,300x = 201,705,181,456
  5. Step 5: Solve for x
    x = 201,705,181,456/305,300
  6. Step 6: Final answer
    x = 660,678.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.