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Finding the Third Proportional to 195,880 and 422,856

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Solution

The third proportional to 195,880 and 422,856 is: 912,840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,880 : 422,856 = 422,856 : x
  2. Step 2: Convert to fraction form
    195,880/422,856 = 422,856/x
  3. Step 3: Cross multiply
    195,880x = 422,856 × 422,856
  4. Step 4: Simplify right side
    195,880x = 178,807,196,736
  5. Step 5: Solve for x
    x = 178,807,196,736/195,880
  6. Step 6: Final answer
    x = 912,840.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.