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Finding the Third Proportional to 105,755 and 216,668

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Solution

The third proportional to 105,755 and 216,668 is: 443,903.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,755 : 216,668 = 216,668 : x
  2. Step 2: Convert to fraction form
    105,755/216,668 = 216,668/x
  3. Step 3: Cross multiply
    105,755x = 216,668 × 216,668
  4. Step 4: Simplify right side
    105,755x = 46,945,022,224
  5. Step 5: Solve for x
    x = 46,945,022,224/105,755
  6. Step 6: Final answer
    x = 443,903.57

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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.