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Finding the Third Proportional to 398,198 and 616,558

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Solution

The third proportional to 398,198 and 616,558 is: 954,660.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,198 : 616,558 = 616,558 : x
  2. Step 2: Convert to fraction form
    398,198/616,558 = 616,558/x
  3. Step 3: Cross multiply
    398,198x = 616,558 × 616,558
  4. Step 4: Simplify right side
    398,198x = 380,143,767,364
  5. Step 5: Solve for x
    x = 380,143,767,364/398,198
  6. Step 6: Final answer
    x = 954,660.16

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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.