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Finding the Third Proportional to 81,431 and 116,230

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Solution

The third proportional to 81,431 and 116,230 is: 165,900.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,431 : 116,230 = 116,230 : x
  2. Step 2: Convert to fraction form
    81,431/116,230 = 116,230/x
  3. Step 3: Cross multiply
    81,431x = 116,230 × 116,230
  4. Step 4: Simplify right side
    81,431x = 13,509,412,900
  5. Step 5: Solve for x
    x = 13,509,412,900/81,431
  6. Step 6: Final answer
    x = 165,900.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.