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Finding the Third Proportional to 188,168 and 405,880

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Solution

The third proportional to 188,168 and 405,880 is: 875,486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,168 : 405,880 = 405,880 : x
  2. Step 2: Convert to fraction form
    188,168/405,880 = 405,880/x
  3. Step 3: Cross multiply
    188,168x = 405,880 × 405,880
  4. Step 4: Simplify right side
    188,168x = 164,738,574,400
  5. Step 5: Solve for x
    x = 164,738,574,400/188,168
  6. Step 6: Final answer
    x = 875,486.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.