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Finding the Third Proportional to 300,838 and 641,708

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Solution

The third proportional to 300,838 and 641,708 is: 1,368,806.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,838 : 641,708 = 641,708 : x
  2. Step 2: Convert to fraction form
    300,838/641,708 = 641,708/x
  3. Step 3: Cross multiply
    300,838x = 641,708 × 641,708
  4. Step 4: Simplify right side
    300,838x = 411,789,157,264
  5. Step 5: Solve for x
    x = 411,789,157,264/300,838
  6. Step 6: Final answer
    x = 1,368,806.99

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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.