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Finding the Third Proportional to 103,986 and 212,898

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Solution

The third proportional to 103,986 and 212,898 is: 435,881.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,986 : 212,898 = 212,898 : x
  2. Step 2: Convert to fraction form
    103,986/212,898 = 212,898/x
  3. Step 3: Cross multiply
    103,986x = 212,898 × 212,898
  4. Step 4: Simplify right side
    103,986x = 45,325,558,404
  5. Step 5: Solve for x
    x = 45,325,558,404/103,986
  6. Step 6: Final answer
    x = 435,881.35

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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.