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Finding the Third Proportional to 199,016 and 420,495

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Solution

The third proportional to 199,016 and 420,495 is: 888,451.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,016 : 420,495 = 420,495 : x
  2. Step 2: Convert to fraction form
    199,016/420,495 = 420,495/x
  3. Step 3: Cross multiply
    199,016x = 420,495 × 420,495
  4. Step 4: Simplify right side
    199,016x = 176,816,045,025
  5. Step 5: Solve for x
    x = 176,816,045,025/199,016
  6. Step 6: Final answer
    x = 888,451.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.