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Finding the Third Proportional to 200,719 and 440,802

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Solution

The third proportional to 200,719 and 440,802 is: 968,051.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,719 : 440,802 = 440,802 : x
  2. Step 2: Convert to fraction form
    200,719/440,802 = 440,802/x
  3. Step 3: Cross multiply
    200,719x = 440,802 × 440,802
  4. Step 4: Simplify right side
    200,719x = 194,306,403,204
  5. Step 5: Solve for x
    x = 194,306,403,204/200,719
  6. Step 6: Final answer
    x = 968,051.87

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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.