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Finding the Third Proportional to 300,027 and 641,526

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Solution

The third proportional to 300,027 and 641,526 is: 1,371,728.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,027 : 641,526 = 641,526 : x
  2. Step 2: Convert to fraction form
    300,027/641,526 = 641,526/x
  3. Step 3: Cross multiply
    300,027x = 641,526 × 641,526
  4. Step 4: Simplify right side
    300,027x = 411,555,608,676
  5. Step 5: Solve for x
    x = 411,555,608,676/300,027
  6. Step 6: Final answer
    x = 1,371,728.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.