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Finding the Third Proportional to 305,840 and 449,736

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Solution

The third proportional to 305,840 and 449,736 is: 661,334.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,840 : 449,736 = 449,736 : x
  2. Step 2: Convert to fraction form
    305,840/449,736 = 449,736/x
  3. Step 3: Cross multiply
    305,840x = 449,736 × 449,736
  4. Step 4: Simplify right side
    305,840x = 202,262,469,696
  5. Step 5: Solve for x
    x = 202,262,469,696/305,840
  6. Step 6: Final answer
    x = 661,334.26

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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.