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Finding the Third Proportional to 178,698 and 366,909

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Solution

The third proportional to 178,698 and 366,909 is: 753,350.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,698 : 366,909 = 366,909 : x
  2. Step 2: Convert to fraction form
    178,698/366,909 = 366,909/x
  3. Step 3: Cross multiply
    178,698x = 366,909 × 366,909
  4. Step 4: Simplify right side
    178,698x = 134,622,214,281
  5. Step 5: Solve for x
    x = 134,622,214,281/178,698
  6. Step 6: Final answer
    x = 753,350.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.