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Finding the Third Proportional to 200,723 and 440,807

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Solution

The third proportional to 200,723 and 440,807 is: 968,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,723 : 440,807 = 440,807 : x
  2. Step 2: Convert to fraction form
    200,723/440,807 = 440,807/x
  3. Step 3: Cross multiply
    200,723x = 440,807 × 440,807
  4. Step 4: Simplify right side
    200,723x = 194,310,811,249
  5. Step 5: Solve for x
    x = 194,310,811,249/200,723
  6. Step 6: Final answer
    x = 968,054.54

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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.