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Finding the Third Proportional to 291,532 and 438,198

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Solution

The third proportional to 291,532 and 438,198 is: 658,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,532 : 438,198 = 438,198 : x
  2. Step 2: Convert to fraction form
    291,532/438,198 = 438,198/x
  3. Step 3: Cross multiply
    291,532x = 438,198 × 438,198
  4. Step 4: Simplify right side
    291,532x = 192,017,487,204
  5. Step 5: Solve for x
    x = 192,017,487,204/291,532
  6. Step 6: Final answer
    x = 658,649.78

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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.