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Finding the Third Proportional to 299,425 and 656,817

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Solution

The third proportional to 299,425 and 656,817 is: 1,440,790.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,425 : 656,817 = 656,817 : x
  2. Step 2: Convert to fraction form
    299,425/656,817 = 656,817/x
  3. Step 3: Cross multiply
    299,425x = 656,817 × 656,817
  4. Step 4: Simplify right side
    299,425x = 431,408,571,489
  5. Step 5: Solve for x
    x = 431,408,571,489/299,425
  6. Step 6: Final answer
    x = 1,440,790.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.