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Finding the Third Proportional to 305,738.72 and 449,615.81

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Solution

The third proportional to 305,738.72 and 449,615.81 is: 661,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,738.72 : 449,615.81 = 449,615.81 : x
  2. Step 2: Convert to fraction form
    305,738.72/449,615.81 = 449,615.81/x
  3. Step 3: Cross multiply
    305,738.72x = 449,615.81 × 449,615.81
  4. Step 4: Simplify right side
    305,738.72x = 202,154,378,850.04
  5. Step 5: Solve for x
    x = 202,154,378,850.04/305,738.72
  6. Step 6: Final answer
    x = 661,199.80

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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.