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Finding the Third Proportional to 188,296 and 403,880

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Solution

The third proportional to 188,296 and 403,880 is: 866,290.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,296 : 403,880 = 403,880 : x
  2. Step 2: Convert to fraction form
    188,296/403,880 = 403,880/x
  3. Step 3: Cross multiply
    188,296x = 403,880 × 403,880
  4. Step 4: Simplify right side
    188,296x = 163,119,054,400
  5. Step 5: Solve for x
    x = 163,119,054,400/188,296
  6. Step 6: Final answer
    x = 866,290.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.