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Finding the Third Proportional to 329,324 and 684,486

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Solution

The third proportional to 329,324 and 684,486 is: 1,422,675.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,324 : 684,486 = 684,486 : x
  2. Step 2: Convert to fraction form
    329,324/684,486 = 684,486/x
  3. Step 3: Cross multiply
    329,324x = 684,486 × 684,486
  4. Step 4: Simplify right side
    329,324x = 468,521,084,196
  5. Step 5: Solve for x
    x = 468,521,084,196/329,324
  6. Step 6: Final answer
    x = 1,422,675.19

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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.