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Finding the Third Proportional to 338,406 and 743,742

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Solution

The third proportional to 338,406 and 743,742 is: 1,634,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,406 : 743,742 = 743,742 : x
  2. Step 2: Convert to fraction form
    338,406/743,742 = 743,742/x
  3. Step 3: Cross multiply
    338,406x = 743,742 × 743,742
  4. Step 4: Simplify right side
    338,406x = 553,152,162,564
  5. Step 5: Solve for x
    x = 553,152,162,564/338,406
  6. Step 6: Final answer
    x = 1,634,581.43

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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.