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Finding the Third Proportional to 294,669 and 641,839

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Solution

The third proportional to 294,669 and 641,839 is: 1,398,034.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,669 : 641,839 = 641,839 : x
  2. Step 2: Convert to fraction form
    294,669/641,839 = 641,839/x
  3. Step 3: Cross multiply
    294,669x = 641,839 × 641,839
  4. Step 4: Simplify right side
    294,669x = 411,957,301,921
  5. Step 5: Solve for x
    x = 411,957,301,921/294,669
  6. Step 6: Final answer
    x = 1,398,034.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.