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Finding the Third Proportional to 338,684 and 746,476

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Solution

The third proportional to 338,684 and 746,476 is: 1,645,269.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,684 : 746,476 = 746,476 : x
  2. Step 2: Convert to fraction form
    338,684/746,476 = 746,476/x
  3. Step 3: Cross multiply
    338,684x = 746,476 × 746,476
  4. Step 4: Simplify right side
    338,684x = 557,226,418,576
  5. Step 5: Solve for x
    x = 557,226,418,576/338,684
  6. Step 6: Final answer
    x = 1,645,269.39

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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.