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Finding the Third Proportional to 80,431 and 125,243

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Solution

The third proportional to 80,431 and 125,243 is: 195,021.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,431 : 125,243 = 125,243 : x
  2. Step 2: Convert to fraction form
    80,431/125,243 = 125,243/x
  3. Step 3: Cross multiply
    80,431x = 125,243 × 125,243
  4. Step 4: Simplify right side
    80,431x = 15,685,809,049
  5. Step 5: Solve for x
    x = 15,685,809,049/80,431
  6. Step 6: Final answer
    x = 195,021.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.