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Finding the Third Proportional to 200,515.50 and 445,858.88

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Solution

The third proportional to 200,515.50 and 445,858.88 is: 991,395.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,515.50 : 445,858.88 = 445,858.88 : x
  2. Step 2: Convert to fraction form
    200,515.50/445,858.88 = 445,858.88/x
  3. Step 3: Cross multiply
    200,515.50x = 445,858.88 × 445,858.88
  4. Step 4: Simplify right side
    200,515.50x = 198,790,136,416.27
  5. Step 5: Solve for x
    x = 198,790,136,416.27/200,515.50
  6. Step 6: Final answer
    x = 991,395.36

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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.