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Finding the Third Proportional to 199,869.75 and 407,768.25

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Solution

The third proportional to 199,869.75 and 407,768.25 is: 831,916.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,869.75 : 407,768.25 = 407,768.25 : x
  2. Step 2: Convert to fraction form
    199,869.75/407,768.25 = 407,768.25/x
  3. Step 3: Cross multiply
    199,869.75x = 407,768.25 × 407,768.25
  4. Step 4: Simplify right side
    199,869.75x = 166,274,945,708.06
  5. Step 5: Solve for x
    x = 166,274,945,708.06/199,869.75
  6. Step 6: Final answer
    x = 831,916.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.