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Finding the Third Proportional to 307,696 and 664,600

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Solution

The third proportional to 307,696 and 664,600 is: 1,435,485.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,696 : 664,600 = 664,600 : x
  2. Step 2: Convert to fraction form
    307,696/664,600 = 664,600/x
  3. Step 3: Cross multiply
    307,696x = 664,600 × 664,600
  4. Step 4: Simplify right side
    307,696x = 441,693,160,000
  5. Step 5: Solve for x
    x = 441,693,160,000/307,696
  6. Step 6: Final answer
    x = 1,435,485.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.