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Finding the Third Proportional to 200,804 and 422,315

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Solution

The third proportional to 200,804 and 422,315 is: 888,179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,804 : 422,315 = 422,315 : x
  2. Step 2: Convert to fraction form
    200,804/422,315 = 422,315/x
  3. Step 3: Cross multiply
    200,804x = 422,315 × 422,315
  4. Step 4: Simplify right side
    200,804x = 178,349,959,225
  5. Step 5: Solve for x
    x = 178,349,959,225/200,804
  6. Step 6: Final answer
    x = 888,179.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.