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Finding the Third Proportional to 329,311 and 684,460

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Solution

The third proportional to 329,311 and 684,460 is: 1,422,623.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,311 : 684,460 = 684,460 : x
  2. Step 2: Convert to fraction form
    329,311/684,460 = 684,460/x
  3. Step 3: Cross multiply
    329,311x = 684,460 × 684,460
  4. Step 4: Simplify right side
    329,311x = 468,485,491,600
  5. Step 5: Solve for x
    x = 468,485,491,600/329,311
  6. Step 6: Final answer
    x = 1,422,623.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.