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Finding the Third Proportional to 200,256.75 and 407,949.75

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Solution

The third proportional to 200,256.75 and 407,949.75 is: 831,048.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,256.75 : 407,949.75 = 407,949.75 : x
  2. Step 2: Convert to fraction form
    200,256.75/407,949.75 = 407,949.75/x
  3. Step 3: Cross multiply
    200,256.75x = 407,949.75 × 407,949.75
  4. Step 4: Simplify right side
    200,256.75x = 166,422,998,525.06
  5. Step 5: Solve for x
    x = 166,422,998,525.06/200,256.75
  6. Step 6: Final answer
    x = 831,048.13

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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.