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Finding the Third Proportional to 315,920 and 682,420

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Solution

The third proportional to 315,920 and 682,420 is: 1,474,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,920 : 682,420 = 682,420 : x
  2. Step 2: Convert to fraction form
    315,920/682,420 = 682,420/x
  3. Step 3: Cross multiply
    315,920x = 682,420 × 682,420
  4. Step 4: Simplify right side
    315,920x = 465,697,056,400
  5. Step 5: Solve for x
    x = 465,697,056,400/315,920
  6. Step 6: Final answer
    x = 1,474,098.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.