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Finding the Third Proportional to 323,718 and 660,286

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Solution

The third proportional to 323,718 and 660,286 is: 1,346,782.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,718 : 660,286 = 660,286 : x
  2. Step 2: Convert to fraction form
    323,718/660,286 = 660,286/x
  3. Step 3: Cross multiply
    323,718x = 660,286 × 660,286
  4. Step 4: Simplify right side
    323,718x = 435,977,601,796
  5. Step 5: Solve for x
    x = 435,977,601,796/323,718
  6. Step 6: Final answer
    x = 1,346,782.08

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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.