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Finding the Third Proportional to 321,168 and 691,665

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Solution

The third proportional to 321,168 and 691,665 is: 1,489,564.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,168 : 691,665 = 691,665 : x
  2. Step 2: Convert to fraction form
    321,168/691,665 = 691,665/x
  3. Step 3: Cross multiply
    321,168x = 691,665 × 691,665
  4. Step 4: Simplify right side
    321,168x = 478,400,472,225
  5. Step 5: Solve for x
    x = 478,400,472,225/321,168
  6. Step 6: Final answer
    x = 1,489,564.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.