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Finding the Third Proportional to 38,322 and 81,918

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Solution

The third proportional to 38,322 and 81,918 is: 175,109.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,322 : 81,918 = 81,918 : x
  2. Step 2: Convert to fraction form
    38,322/81,918 = 81,918/x
  3. Step 3: Cross multiply
    38,322x = 81,918 × 81,918
  4. Step 4: Simplify right side
    38,322x = 6,710,558,724
  5. Step 5: Solve for x
    x = 6,710,558,724/38,322
  6. Step 6: Final answer
    x = 175,109.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.