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Finding the Third Proportional to 315,858 and 682,290

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Solution

The third proportional to 315,858 and 682,290 is: 1,473,825.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,858 : 682,290 = 682,290 : x
  2. Step 2: Convert to fraction form
    315,858/682,290 = 682,290/x
  3. Step 3: Cross multiply
    315,858x = 682,290 × 682,290
  4. Step 4: Simplify right side
    315,858x = 465,519,644,100
  5. Step 5: Solve for x
    x = 465,519,644,100/315,858
  6. Step 6: Final answer
    x = 1,473,825.72

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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.