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Finding the Third Proportional to 231,132 and 324,531

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Solution

The third proportional to 231,132 and 324,531 is: 455,671.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,132 : 324,531 = 324,531 : x
  2. Step 2: Convert to fraction form
    231,132/324,531 = 324,531/x
  3. Step 3: Cross multiply
    231,132x = 324,531 × 324,531
  4. Step 4: Simplify right side
    231,132x = 105,320,369,961
  5. Step 5: Solve for x
    x = 105,320,369,961/231,132
  6. Step 6: Final answer
    x = 455,671.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.