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Finding the Third Proportional to 201,136.75 and 440,677.75

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Solution

The third proportional to 201,136.75 and 440,677.75 is: 965,496.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,136.75 : 440,677.75 = 440,677.75 : x
  2. Step 2: Convert to fraction form
    201,136.75/440,677.75 = 440,677.75/x
  3. Step 3: Cross multiply
    201,136.75x = 440,677.75 × 440,677.75
  4. Step 4: Simplify right side
    201,136.75x = 194,196,879,345.06
  5. Step 5: Solve for x
    x = 194,196,879,345.06/201,136.75
  6. Step 6: Final answer
    x = 965,496.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.