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Finding the Third Proportional to 200,729 and 440,819

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Solution

The third proportional to 200,729 and 440,819 is: 968,078.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,729 : 440,819 = 440,819 : x
  2. Step 2: Convert to fraction form
    200,729/440,819 = 440,819/x
  3. Step 3: Cross multiply
    200,729x = 440,819 × 440,819
  4. Step 4: Simplify right side
    200,729x = 194,321,390,761
  5. Step 5: Solve for x
    x = 194,321,390,761/200,729
  6. Step 6: Final answer
    x = 968,078.31

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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.