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Finding the Third Proportional to 199,011 and 420,485

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Solution

The third proportional to 199,011 and 420,485 is: 888,431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,011 : 420,485 = 420,485 : x
  2. Step 2: Convert to fraction form
    199,011/420,485 = 420,485/x
  3. Step 3: Cross multiply
    199,011x = 420,485 × 420,485
  4. Step 4: Simplify right side
    199,011x = 176,807,635,225
  5. Step 5: Solve for x
    x = 176,807,635,225/199,011
  6. Step 6: Final answer
    x = 888,431.47

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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.