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Finding the Third Proportional to 81,416 and 116,211

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Solution

The third proportional to 81,416 and 116,211 is: 165,876.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,416 : 116,211 = 116,211 : x
  2. Step 2: Convert to fraction form
    81,416/116,211 = 116,211/x
  3. Step 3: Cross multiply
    81,416x = 116,211 × 116,211
  4. Step 4: Simplify right side
    81,416x = 13,504,996,521
  5. Step 5: Solve for x
    x = 13,504,996,521/81,416
  6. Step 6: Final answer
    x = 165,876.44

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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.