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Finding the Third Proportional to 398,628 and 617,868

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Solution

The third proportional to 398,628 and 617,868 is: 957,687.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,628 : 617,868 = 617,868 : x
  2. Step 2: Convert to fraction form
    398,628/617,868 = 617,868/x
  3. Step 3: Cross multiply
    398,628x = 617,868 × 617,868
  4. Step 4: Simplify right side
    398,628x = 381,760,865,424
  5. Step 5: Solve for x
    x = 381,760,865,424/398,628
  6. Step 6: Final answer
    x = 957,687.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.