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Finding the Third Proportional to 294,635 and 641,767

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Solution

The third proportional to 294,635 and 641,767 is: 1,397,881.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,635 : 641,767 = 641,767 : x
  2. Step 2: Convert to fraction form
    294,635/641,767 = 641,767/x
  3. Step 3: Cross multiply
    294,635x = 641,767 × 641,767
  4. Step 4: Simplify right side
    294,635x = 411,864,882,289
  5. Step 5: Solve for x
    x = 411,864,882,289/294,635
  6. Step 6: Final answer
    x = 1,397,881.73

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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.