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Finding the Third Proportional to 378,702 and 829,834

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Solution

The third proportional to 378,702 and 829,834 is: 1,818,380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,702 : 829,834 = 829,834 : x
  2. Step 2: Convert to fraction form
    378,702/829,834 = 829,834/x
  3. Step 3: Cross multiply
    378,702x = 829,834 × 829,834
  4. Step 4: Simplify right side
    378,702x = 688,624,467,556
  5. Step 5: Solve for x
    x = 688,624,467,556/378,702
  6. Step 6: Final answer
    x = 1,818,380.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.