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Finding the Third Proportional to 330,567 and 678,558

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Solution

The third proportional to 330,567 and 678,558 is: 1,392,882.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,567 : 678,558 = 678,558 : x
  2. Step 2: Convert to fraction form
    330,567/678,558 = 678,558/x
  3. Step 3: Cross multiply
    330,567x = 678,558 × 678,558
  4. Step 4: Simplify right side
    330,567x = 460,440,959,364
  5. Step 5: Solve for x
    x = 460,440,959,364/330,567
  6. Step 6: Final answer
    x = 1,392,882.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.