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Finding the Third Proportional to 329,356 and 670,352

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Solution

The third proportional to 329,356 and 670,352 is: 1,364,395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,356 : 670,352 = 670,352 : x
  2. Step 2: Convert to fraction form
    329,356/670,352 = 670,352/x
  3. Step 3: Cross multiply
    329,356x = 670,352 × 670,352
  4. Step 4: Simplify right side
    329,356x = 449,371,803,904
  5. Step 5: Solve for x
    x = 449,371,803,904/329,356
  6. Step 6: Final answer
    x = 1,364,395.38

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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.