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Finding the Third Proportional to 201,612 and 439,512

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Solution

The third proportional to 201,612 and 439,512 is: 958,131.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,612 : 439,512 = 439,512 : x
  2. Step 2: Convert to fraction form
    201,612/439,512 = 439,512/x
  3. Step 3: Cross multiply
    201,612x = 439,512 × 439,512
  4. Step 4: Simplify right side
    201,612x = 193,170,798,144
  5. Step 5: Solve for x
    x = 193,170,798,144/201,612
  6. Step 6: Final answer
    x = 958,131.45

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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.