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Finding the Third Proportional to 198,309 and 386,655

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Solution

The third proportional to 198,309 and 386,655 is: 753,884.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,309 : 386,655 = 386,655 : x
  2. Step 2: Convert to fraction form
    198,309/386,655 = 386,655/x
  3. Step 3: Cross multiply
    198,309x = 386,655 × 386,655
  4. Step 4: Simplify right side
    198,309x = 149,502,089,025
  5. Step 5: Solve for x
    x = 149,502,089,025/198,309
  6. Step 6: Final answer
    x = 753,884.54

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.