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Finding the Third Proportional to 200,575 and 440,512

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Solution

The third proportional to 200,575 and 440,512 is: 967,472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,575 : 440,512 = 440,512 : x
  2. Step 2: Convert to fraction form
    200,575/440,512 = 440,512/x
  3. Step 3: Cross multiply
    200,575x = 440,512 × 440,512
  4. Step 4: Simplify right side
    200,575x = 194,050,822,144
  5. Step 5: Solve for x
    x = 194,050,822,144/200,575
  6. Step 6: Final answer
    x = 967,472.63

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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.