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Finding the Third Proportional to 21,218 and 46,241

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Solution

The third proportional to 21,218 and 46,241 is: 100,774.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,218 : 46,241 = 46,241 : x
  2. Step 2: Convert to fraction form
    21,218/46,241 = 46,241/x
  3. Step 3: Cross multiply
    21,218x = 46,241 × 46,241
  4. Step 4: Simplify right side
    21,218x = 2,138,230,081
  5. Step 5: Solve for x
    x = 2,138,230,081/21,218
  6. Step 6: Final answer
    x = 100,774.35

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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.