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Finding the Third Proportional to 678,858 and 1,340,586

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Solution

The third proportional to 678,858 and 1,340,586 is: 2,647,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,858 : 1,340,586 = 1,340,586 : x
  2. Step 2: Convert to fraction form
    678,858/1,340,586 = 1,340,586/x
  3. Step 3: Cross multiply
    678,858x = 1,340,586 × 1,340,586
  4. Step 4: Simplify right side
    678,858x = 1,797,170,823,396
  5. Step 5: Solve for x
    x = 1,797,170,823,396/678,858
  6. Step 6: Final answer
    x = 2,647,344.25

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.