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Finding the Third Proportional to 81,369 and 175,698

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Solution

The third proportional to 81,369 and 175,698 is: 379,380.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,369 : 175,698 = 175,698 : x
  2. Step 2: Convert to fraction form
    81,369/175,698 = 175,698/x
  3. Step 3: Cross multiply
    81,369x = 175,698 × 175,698
  4. Step 4: Simplify right side
    81,369x = 30,869,787,204
  5. Step 5: Solve for x
    x = 30,869,787,204/81,369
  6. Step 6: Final answer
    x = 379,380.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.