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Finding the Third Proportional to 81,418 and 116,213

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Solution

The third proportional to 81,418 and 116,213 is: 165,878.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,418 : 116,213 = 116,213 : x
  2. Step 2: Convert to fraction form
    81,418/116,213 = 116,213/x
  3. Step 3: Cross multiply
    81,418x = 116,213 × 116,213
  4. Step 4: Simplify right side
    81,418x = 13,505,461,369
  5. Step 5: Solve for x
    x = 13,505,461,369/81,418
  6. Step 6: Final answer
    x = 165,878.08

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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.