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Finding the Third Proportional to 321,098 and 705,756

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Solution

The third proportional to 321,098 and 705,756 is: 1,551,213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,098 : 705,756 = 705,756 : x
  2. Step 2: Convert to fraction form
    321,098/705,756 = 705,756/x
  3. Step 3: Cross multiply
    321,098x = 705,756 × 705,756
  4. Step 4: Simplify right side
    321,098x = 498,091,531,536
  5. Step 5: Solve for x
    x = 498,091,531,536/321,098
  6. Step 6: Final answer
    x = 1,551,213.43

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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.