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Finding the Third Proportional to 197,505 and 385,155

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Solution

The third proportional to 197,505 and 385,155 is: 751,091.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,505 : 385,155 = 385,155 : x
  2. Step 2: Convert to fraction form
    197,505/385,155 = 385,155/x
  3. Step 3: Cross multiply
    197,505x = 385,155 × 385,155
  4. Step 4: Simplify right side
    197,505x = 148,344,374,025
  5. Step 5: Solve for x
    x = 148,344,374,025/197,505
  6. Step 6: Final answer
    x = 751,091.74

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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.