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Finding the Third Proportional to 200,911 and 441,999

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Solution

The third proportional to 200,911 and 441,999 is: 972,386.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,911 : 441,999 = 441,999 : x
  2. Step 2: Convert to fraction form
    200,911/441,999 = 441,999/x
  3. Step 3: Cross multiply
    200,911x = 441,999 × 441,999
  4. Step 4: Simplify right side
    200,911x = 195,363,116,001
  5. Step 5: Solve for x
    x = 195,363,116,001/200,911
  6. Step 6: Final answer
    x = 972,386.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.