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Finding the Third Proportional to 213,867 and 468,558

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Solution

The third proportional to 213,867 and 468,558 is: 1,026,556.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,867 : 468,558 = 468,558 : x
  2. Step 2: Convert to fraction form
    213,867/468,558 = 468,558/x
  3. Step 3: Cross multiply
    213,867x = 468,558 × 468,558
  4. Step 4: Simplify right side
    213,867x = 219,546,599,364
  5. Step 5: Solve for x
    x = 219,546,599,364/213,867
  6. Step 6: Final answer
    x = 1,026,556.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.