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Finding the Third Proportional to 377,899 and 829,519

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Solution

The third proportional to 377,899 and 829,519 is: 1,820,861.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,899 : 829,519 = 829,519 : x
  2. Step 2: Convert to fraction form
    377,899/829,519 = 829,519/x
  3. Step 3: Cross multiply
    377,899x = 829,519 × 829,519
  4. Step 4: Simplify right side
    377,899x = 688,101,771,361
  5. Step 5: Solve for x
    x = 688,101,771,361/377,899
  6. Step 6: Final answer
    x = 1,820,861.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.