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Finding the Third Proportional to 321,122 and 705,802

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Solution

The third proportional to 321,122 and 705,802 is: 1,551,299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,122 : 705,802 = 705,802 : x
  2. Step 2: Convert to fraction form
    321,122/705,802 = 705,802/x
  3. Step 3: Cross multiply
    321,122x = 705,802 × 705,802
  4. Step 4: Simplify right side
    321,122x = 498,156,463,204
  5. Step 5: Solve for x
    x = 498,156,463,204/321,122
  6. Step 6: Final answer
    x = 1,551,299.70

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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.