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Finding the Third Proportional to 329,497.88 and 678,673.69

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Solution

The third proportional to 329,497.88 and 678,673.69 is: 1,397,878.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,497.88 : 678,673.69 = 678,673.69 : x
  2. Step 2: Convert to fraction form
    329,497.88/678,673.69 = 678,673.69/x
  3. Step 3: Cross multiply
    329,497.88x = 678,673.69 × 678,673.69
  4. Step 4: Simplify right side
    329,497.88x = 460,597,974,104.85
  5. Step 5: Solve for x
    x = 460,597,974,104.85/329,497.88
  6. Step 6: Final answer
    x = 1,397,878.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.