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Finding the Third Proportional to 315,184 and 682,880

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Solution

The third proportional to 315,184 and 682,880 is: 1,479,532.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,184 : 682,880 = 682,880 : x
  2. Step 2: Convert to fraction form
    315,184/682,880 = 682,880/x
  3. Step 3: Cross multiply
    315,184x = 682,880 × 682,880
  4. Step 4: Simplify right side
    315,184x = 466,325,094,400
  5. Step 5: Solve for x
    x = 466,325,094,400/315,184
  6. Step 6: Final answer
    x = 1,479,532.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.