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Finding the Third Proportional to 309,104 and 659,038

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Solution

The third proportional to 309,104 and 659,038 is: 1,405,129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,104 : 659,038 = 659,038 : x
  2. Step 2: Convert to fraction form
    309,104/659,038 = 659,038/x
  3. Step 3: Cross multiply
    309,104x = 659,038 × 659,038
  4. Step 4: Simplify right side
    309,104x = 434,331,085,444
  5. Step 5: Solve for x
    x = 434,331,085,444/309,104
  6. Step 6: Final answer
    x = 1,405,129.29

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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.