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Finding the Third Proportional to 105,669 and 218,736

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Solution

The third proportional to 105,669 and 218,736 is: 452,785.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,669 : 218,736 = 218,736 : x
  2. Step 2: Convert to fraction form
    105,669/218,736 = 218,736/x
  3. Step 3: Cross multiply
    105,669x = 218,736 × 218,736
  4. Step 4: Simplify right side
    105,669x = 47,845,437,696
  5. Step 5: Solve for x
    x = 47,845,437,696/105,669
  6. Step 6: Final answer
    x = 452,785.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.