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Finding the Third Proportional to 329,326 and 684,490

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Solution

The third proportional to 329,326 and 684,490 is: 1,422,683.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,326 : 684,490 = 684,490 : x
  2. Step 2: Convert to fraction form
    329,326/684,490 = 684,490/x
  3. Step 3: Cross multiply
    329,326x = 684,490 × 684,490
  4. Step 4: Simplify right side
    329,326x = 468,526,560,100
  5. Step 5: Solve for x
    x = 468,526,560,100/329,326
  6. Step 6: Final answer
    x = 1,422,683.18

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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.