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Finding the Third Proportional to 213,200 and 458,668

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Solution

The third proportional to 213,200 and 458,668 is: 986,755.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,200 : 458,668 = 458,668 : x
  2. Step 2: Convert to fraction form
    213,200/458,668 = 458,668/x
  3. Step 3: Cross multiply
    213,200x = 458,668 × 458,668
  4. Step 4: Simplify right side
    213,200x = 210,376,334,224
  5. Step 5: Solve for x
    x = 210,376,334,224/213,200
  6. Step 6: Final answer
    x = 986,755.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.