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Finding the Third Proportional to 338,678 and 746,464

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Solution

The third proportional to 338,678 and 746,464 is: 1,645,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,678 : 746,464 = 746,464 : x
  2. Step 2: Convert to fraction form
    338,678/746,464 = 746,464/x
  3. Step 3: Cross multiply
    338,678x = 746,464 × 746,464
  4. Step 4: Simplify right side
    338,678x = 557,208,503,296
  5. Step 5: Solve for x
    x = 557,208,503,296/338,678
  6. Step 6: Final answer
    x = 1,645,245.64

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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.