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Finding the Third Proportional to 199,278 and 422,856

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Solution

The third proportional to 199,278 and 422,856 is: 897,275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,278 : 422,856 = 422,856 : x
  2. Step 2: Convert to fraction form
    199,278/422,856 = 422,856/x
  3. Step 3: Cross multiply
    199,278x = 422,856 × 422,856
  4. Step 4: Simplify right side
    199,278x = 178,807,196,736
  5. Step 5: Solve for x
    x = 178,807,196,736/199,278
  6. Step 6: Final answer
    x = 897,275.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.