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Finding the Third Proportional to 103,986 and 212,899

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Solution

The third proportional to 103,986 and 212,899 is: 435,885.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,986 : 212,899 = 212,899 : x
  2. Step 2: Convert to fraction form
    103,986/212,899 = 212,899/x
  3. Step 3: Cross multiply
    103,986x = 212,899 × 212,899
  4. Step 4: Simplify right side
    103,986x = 45,325,984,201
  5. Step 5: Solve for x
    x = 45,325,984,201/103,986
  6. Step 6: Final answer
    x = 435,885.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.