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Finding the Third Proportional to 200,409 and 440,898

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Solution

The third proportional to 200,409 and 440,898 is: 969,971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,409 : 440,898 = 440,898 : x
  2. Step 2: Convert to fraction form
    200,409/440,898 = 440,898/x
  3. Step 3: Cross multiply
    200,409x = 440,898 × 440,898
  4. Step 4: Simplify right side
    200,409x = 194,391,046,404
  5. Step 5: Solve for x
    x = 194,391,046,404/200,409
  6. Step 6: Final answer
    x = 969,971.64

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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.