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Finding the Third Proportional to 200,448 and 440,576

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Solution

The third proportional to 200,448 and 440,576 is: 968,366.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,448 : 440,576 = 440,576 : x
  2. Step 2: Convert to fraction form
    200,448/440,576 = 440,576/x
  3. Step 3: Cross multiply
    200,448x = 440,576 × 440,576
  4. Step 4: Simplify right side
    200,448x = 194,107,211,776
  5. Step 5: Solve for x
    x = 194,107,211,776/200,448
  6. Step 6: Final answer
    x = 968,366.92

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