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Finding the Third Proportional to 178,945.14 and 389,375.54

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Solution

The third proportional to 178,945.14 and 389,375.54 is: 847,261.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,945.14 : 389,375.54 = 389,375.54 : x
  2. Step 2: Convert to fraction form
    178,945.14/389,375.54 = 389,375.54/x
  3. Step 3: Cross multiply
    178,945.14x = 389,375.54 × 389,375.54
  4. Step 4: Simplify right side
    178,945.14x = 151,613,313,462.21
  5. Step 5: Solve for x
    x = 151,613,313,462.21/178,945.14
  6. Step 6: Final answer
    x = 847,261.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.