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Finding the Third Proportional to 329,352 and 670,344

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Solution

The third proportional to 329,352 and 670,344 is: 1,364,379.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,352 : 670,344 = 670,344 : x
  2. Step 2: Convert to fraction form
    329,352/670,344 = 670,344/x
  3. Step 3: Cross multiply
    329,352x = 670,344 × 670,344
  4. Step 4: Simplify right side
    329,352x = 449,361,078,336
  5. Step 5: Solve for x
    x = 449,361,078,336/329,352
  6. Step 6: Final answer
    x = 1,364,379.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.