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Finding the Third Proportional to 321,100 and 705,760

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Solution

The third proportional to 321,100 and 705,760 is: 1,551,221.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,100 : 705,760 = 705,760 : x
  2. Step 2: Convert to fraction form
    321,100/705,760 = 705,760/x
  3. Step 3: Cross multiply
    321,100x = 705,760 × 705,760
  4. Step 4: Simplify right side
    321,100x = 498,097,177,600
  5. Step 5: Solve for x
    x = 498,097,177,600/321,100
  6. Step 6: Final answer
    x = 1,551,221.36

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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.