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Finding the Third Proportional to 291,530 and 438,195

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Solution

The third proportional to 291,530 and 438,195 is: 658,645.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,530 : 438,195 = 438,195 : x
  2. Step 2: Convert to fraction form
    291,530/438,195 = 438,195/x
  3. Step 3: Cross multiply
    291,530x = 438,195 × 438,195
  4. Step 4: Simplify right side
    291,530x = 192,014,858,025
  5. Step 5: Solve for x
    x = 192,014,858,025/291,530
  6. Step 6: Final answer
    x = 658,645.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.