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Finding the Third Proportional to 323,024 and 681,328

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Solution

The third proportional to 323,024 and 681,328 is: 1,437,069.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,024 : 681,328 = 681,328 : x
  2. Step 2: Convert to fraction form
    323,024/681,328 = 681,328/x
  3. Step 3: Cross multiply
    323,024x = 681,328 × 681,328
  4. Step 4: Simplify right side
    323,024x = 464,207,843,584
  5. Step 5: Solve for x
    x = 464,207,843,584/323,024
  6. Step 6: Final answer
    x = 1,437,069.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.