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Finding the Third Proportional to 299,180 and 645,926

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Solution

The third proportional to 299,180 and 645,926 is: 1,394,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,180 : 645,926 = 645,926 : x
  2. Step 2: Convert to fraction form
    299,180/645,926 = 645,926/x
  3. Step 3: Cross multiply
    299,180x = 645,926 × 645,926
  4. Step 4: Simplify right side
    299,180x = 417,220,397,476
  5. Step 5: Solve for x
    x = 417,220,397,476/299,180
  6. Step 6: Final answer
    x = 1,394,546.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.