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Finding the Third Proportional to 338,434 and 743,804

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Solution

The third proportional to 338,434 and 743,804 is: 1,634,718.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,434 : 743,804 = 743,804 : x
  2. Step 2: Convert to fraction form
    338,434/743,804 = 743,804/x
  3. Step 3: Cross multiply
    338,434x = 743,804 × 743,804
  4. Step 4: Simplify right side
    338,434x = 553,244,390,416
  5. Step 5: Solve for x
    x = 553,244,390,416/338,434
  6. Step 6: Final answer
    x = 1,634,718.71

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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.