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Finding the Third Proportional to 200,721 and 440,803

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Solution

The third proportional to 200,721 and 440,803 is: 968,046.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,721 : 440,803 = 440,803 : x
  2. Step 2: Convert to fraction form
    200,721/440,803 = 440,803/x
  3. Step 3: Cross multiply
    200,721x = 440,803 × 440,803
  4. Step 4: Simplify right side
    200,721x = 194,307,284,809
  5. Step 5: Solve for x
    x = 194,307,284,809/200,721
  6. Step 6: Final answer
    x = 968,046.62

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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.