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Finding the Third Proportional to 81,418 and 116,214

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Solution

The third proportional to 81,418 and 116,214 is: 165,880.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,418 : 116,214 = 116,214 : x
  2. Step 2: Convert to fraction form
    81,418/116,214 = 116,214/x
  3. Step 3: Cross multiply
    81,418x = 116,214 × 116,214
  4. Step 4: Simplify right side
    81,418x = 13,505,693,796
  5. Step 5: Solve for x
    x = 13,505,693,796/81,418
  6. Step 6: Final answer
    x = 165,880.93

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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.