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Finding the Third Proportional to 308,169 and 640,529

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Solution

The third proportional to 308,169 and 640,529 is: 1,331,338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,169 : 640,529 = 640,529 : x
  2. Step 2: Convert to fraction form
    308,169/640,529 = 640,529/x
  3. Step 3: Cross multiply
    308,169x = 640,529 × 640,529
  4. Step 4: Simplify right side
    308,169x = 410,277,399,841
  5. Step 5: Solve for x
    x = 410,277,399,841/308,169
  6. Step 6: Final answer
    x = 1,331,338.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.