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Finding the Third Proportional to 161,530 and 377,305

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Solution

The third proportional to 161,530 and 377,305 is: 881,316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,530 : 377,305 = 377,305 : x
  2. Step 2: Convert to fraction form
    161,530/377,305 = 377,305/x
  3. Step 3: Cross multiply
    161,530x = 377,305 × 377,305
  4. Step 4: Simplify right side
    161,530x = 142,359,063,025
  5. Step 5: Solve for x
    x = 142,359,063,025/161,530
  6. Step 6: Final answer
    x = 881,316.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.