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Finding the Third Proportional to 312,704 and 682,758

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Solution

The third proportional to 312,704 and 682,758 is: 1,490,734.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,704 : 682,758 = 682,758 : x
  2. Step 2: Convert to fraction form
    312,704/682,758 = 682,758/x
  3. Step 3: Cross multiply
    312,704x = 682,758 × 682,758
  4. Step 4: Simplify right side
    312,704x = 466,158,486,564
  5. Step 5: Solve for x
    x = 466,158,486,564/312,704
  6. Step 6: Final answer
    x = 1,490,734.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.