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Finding the Third Proportional to 200,513.81 and 445,859.44

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Solution

The third proportional to 200,513.81 and 445,859.44 is: 991,406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,513.81 : 445,859.44 = 445,859.44 : x
  2. Step 2: Convert to fraction form
    200,513.81/445,859.44 = 445,859.44/x
  3. Step 3: Cross multiply
    200,513.81x = 445,859.44 × 445,859.44
  4. Step 4: Simplify right side
    200,513.81x = 198,790,638,007.82
  5. Step 5: Solve for x
    x = 198,790,638,007.82/200,513.81
  6. Step 6: Final answer
    x = 991,406.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.