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Finding the Third Proportional to 410,171 and 641,972

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Solution

The third proportional to 410,171 and 641,972 is: 1,004,771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,171 : 641,972 = 641,972 : x
  2. Step 2: Convert to fraction form
    410,171/641,972 = 641,972/x
  3. Step 3: Cross multiply
    410,171x = 641,972 × 641,972
  4. Step 4: Simplify right side
    410,171x = 412,128,048,784
  5. Step 5: Solve for x
    x = 412,128,048,784/410,171
  6. Step 6: Final answer
    x = 1,004,771.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.