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Finding the Third Proportional to 186,906 and 398,277

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Solution

The third proportional to 186,906 and 398,277 is: 848,686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,906 : 398,277 = 398,277 : x
  2. Step 2: Convert to fraction form
    186,906/398,277 = 398,277/x
  3. Step 3: Cross multiply
    186,906x = 398,277 × 398,277
  4. Step 4: Simplify right side
    186,906x = 158,624,568,729
  5. Step 5: Solve for x
    x = 158,624,568,729/186,906
  6. Step 6: Final answer
    x = 848,686.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.