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Finding the Third Proportional to 477,021 and 668,536

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Solution

The third proportional to 477,021 and 668,536 is: 936,940.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,021 : 668,536 = 668,536 : x
  2. Step 2: Convert to fraction form
    477,021/668,536 = 668,536/x
  3. Step 3: Cross multiply
    477,021x = 668,536 × 668,536
  4. Step 4: Simplify right side
    477,021x = 446,940,383,296
  5. Step 5: Solve for x
    x = 446,940,383,296/477,021
  6. Step 6: Final answer
    x = 936,940.69

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.