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Finding the Third Proportional to 201,978 and 439,425

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Solution

The third proportional to 201,978 and 439,425 is: 956,016.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,978 : 439,425 = 439,425 : x
  2. Step 2: Convert to fraction form
    201,978/439,425 = 439,425/x
  3. Step 3: Cross multiply
    201,978x = 439,425 × 439,425
  4. Step 4: Simplify right side
    201,978x = 193,094,330,625
  5. Step 5: Solve for x
    x = 193,094,330,625/201,978
  6. Step 6: Final answer
    x = 956,016.65

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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.