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Finding the Third Proportional to 403,204 and 663,918

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Solution

The third proportional to 403,204 and 663,918 is: 1,093,211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,204 : 663,918 = 663,918 : x
  2. Step 2: Convert to fraction form
    403,204/663,918 = 663,918/x
  3. Step 3: Cross multiply
    403,204x = 663,918 × 663,918
  4. Step 4: Simplify right side
    403,204x = 440,787,110,724
  5. Step 5: Solve for x
    x = 440,787,110,724/403,204
  6. Step 6: Final answer
    x = 1,093,211.16

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.