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Finding the Third Proportional to 201,212 and 439,284

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Solution

The third proportional to 201,212 and 439,284 is: 959,040.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,212 : 439,284 = 439,284 : x
  2. Step 2: Convert to fraction form
    201,212/439,284 = 439,284/x
  3. Step 3: Cross multiply
    201,212x = 439,284 × 439,284
  4. Step 4: Simplify right side
    201,212x = 192,970,432,656
  5. Step 5: Solve for x
    x = 192,970,432,656/201,212
  6. Step 6: Final answer
    x = 959,040.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.