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Finding the Third Proportional to 638,504 and 929,676

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Solution

The third proportional to 638,504 and 929,676 is: 1,353,628.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,504 : 929,676 = 929,676 : x
  2. Step 2: Convert to fraction form
    638,504/929,676 = 929,676/x
  3. Step 3: Cross multiply
    638,504x = 929,676 × 929,676
  4. Step 4: Simplify right side
    638,504x = 864,297,464,976
  5. Step 5: Solve for x
    x = 864,297,464,976/638,504
  6. Step 6: Final answer
    x = 1,353,628.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.