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Finding the Third Proportional to 412,804 and 836,699

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Solution

The third proportional to 412,804 and 836,699 is: 1,695,877.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,804 : 836,699 = 836,699 : x
  2. Step 2: Convert to fraction form
    412,804/836,699 = 836,699/x
  3. Step 3: Cross multiply
    412,804x = 836,699 × 836,699
  4. Step 4: Simplify right side
    412,804x = 700,065,216,601
  5. Step 5: Solve for x
    x = 700,065,216,601/412,804
  6. Step 6: Final answer
    x = 1,695,877.99

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.