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Finding the Third Proportional to 200,564 and 440,489

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Solution

The third proportional to 200,564 and 440,489 is: 967,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,564 : 440,489 = 440,489 : x
  2. Step 2: Convert to fraction form
    200,564/440,489 = 440,489/x
  3. Step 3: Cross multiply
    200,564x = 440,489 × 440,489
  4. Step 4: Simplify right side
    200,564x = 194,030,559,121
  5. Step 5: Solve for x
    x = 194,030,559,121/200,564
  6. Step 6: Final answer
    x = 967,424.66

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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.