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Finding the Third Proportional to 199,276 and 422,852

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Solution

The third proportional to 199,276 and 422,852 is: 897,267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,276 : 422,852 = 422,852 : x
  2. Step 2: Convert to fraction form
    199,276/422,852 = 422,852/x
  3. Step 3: Cross multiply
    199,276x = 422,852 × 422,852
  4. Step 4: Simplify right side
    199,276x = 178,803,813,904
  5. Step 5: Solve for x
    x = 178,803,813,904/199,276
  6. Step 6: Final answer
    x = 897,267.18

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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.