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Finding the Third Proportional to 201,132 and 440,669

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Solution

The third proportional to 201,132 and 440,669 is: 965,481.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,132 : 440,669 = 440,669 : x
  2. Step 2: Convert to fraction form
    201,132/440,669 = 440,669/x
  3. Step 3: Cross multiply
    201,132x = 440,669 × 440,669
  4. Step 4: Simplify right side
    201,132x = 194,189,167,561
  5. Step 5: Solve for x
    x = 194,189,167,561/201,132
  6. Step 6: Final answer
    x = 965,481.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.