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Finding the Third Proportional to 309,717 and 656,649

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Solution

The third proportional to 309,717 and 656,649 is: 1,392,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,717 : 656,649 = 656,649 : x
  2. Step 2: Convert to fraction form
    309,717/656,649 = 656,649/x
  3. Step 3: Cross multiply
    309,717x = 656,649 × 656,649
  4. Step 4: Simplify right side
    309,717x = 431,187,909,201
  5. Step 5: Solve for x
    x = 431,187,909,201/309,717
  6. Step 6: Final answer
    x = 1,392,199.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.