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Finding the Third Proportional to 309,124 and 659,072

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Solution

The third proportional to 309,124 and 659,072 is: 1,405,183.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,124 : 659,072 = 659,072 : x
  2. Step 2: Convert to fraction form
    309,124/659,072 = 659,072/x
  3. Step 3: Cross multiply
    309,124x = 659,072 × 659,072
  4. Step 4: Simplify right side
    309,124x = 434,375,901,184
  5. Step 5: Solve for x
    x = 434,375,901,184/309,124
  6. Step 6: Final answer
    x = 1,405,183.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.