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Finding the Third Proportional to 165,636 and 220,680

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Solution

The third proportional to 165,636 and 220,680 is: 294,016.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,636 : 220,680 = 220,680 : x
  2. Step 2: Convert to fraction form
    165,636/220,680 = 220,680/x
  3. Step 3: Cross multiply
    165,636x = 220,680 × 220,680
  4. Step 4: Simplify right side
    165,636x = 48,699,662,400
  5. Step 5: Solve for x
    x = 48,699,662,400/165,636
  6. Step 6: Final answer
    x = 294,016.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.