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Finding the Third Proportional to 327,128 and 666,286

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Solution

The third proportional to 327,128 and 666,286 is: 1,357,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,128 : 666,286 = 666,286 : x
  2. Step 2: Convert to fraction form
    327,128/666,286 = 666,286/x
  3. Step 3: Cross multiply
    327,128x = 666,286 × 666,286
  4. Step 4: Simplify right side
    327,128x = 443,937,033,796
  5. Step 5: Solve for x
    x = 443,937,033,796/327,128
  6. Step 6: Final answer
    x = 1,357,074.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.