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Finding the Third Proportional to 321,150 and 691,629

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Solution

The third proportional to 321,150 and 691,629 is: 1,489,492.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,150 : 691,629 = 691,629 : x
  2. Step 2: Convert to fraction form
    321,150/691,629 = 691,629/x
  3. Step 3: Cross multiply
    321,150x = 691,629 × 691,629
  4. Step 4: Simplify right side
    321,150x = 478,350,673,641
  5. Step 5: Solve for x
    x = 478,350,673,641/321,150
  6. Step 6: Final answer
    x = 1,489,492.99

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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.