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Finding the Third Proportional to 213,860 and 298,992

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Solution

The third proportional to 213,860 and 298,992 is: 418,012.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,860 : 298,992 = 298,992 : x
  2. Step 2: Convert to fraction form
    213,860/298,992 = 298,992/x
  3. Step 3: Cross multiply
    213,860x = 298,992 × 298,992
  4. Step 4: Simplify right side
    213,860x = 89,396,216,064
  5. Step 5: Solve for x
    x = 89,396,216,064/213,860
  6. Step 6: Final answer
    x = 418,012.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.