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Finding the Third Proportional to 195,856 and 422,808

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Solution

The third proportional to 195,856 and 422,808 is: 912,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,856 : 422,808 = 422,808 : x
  2. Step 2: Convert to fraction form
    195,856/422,808 = 422,808/x
  3. Step 3: Cross multiply
    195,856x = 422,808 × 422,808
  4. Step 4: Simplify right side
    195,856x = 178,766,604,864
  5. Step 5: Solve for x
    x = 178,766,604,864/195,856
  6. Step 6: Final answer
    x = 912,745.10

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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.