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Finding the Third Proportional to 80,855 and 175,867

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Solution

The third proportional to 80,855 and 175,867 is: 382,526.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,855 : 175,867 = 175,867 : x
  2. Step 2: Convert to fraction form
    80,855/175,867 = 175,867/x
  3. Step 3: Cross multiply
    80,855x = 175,867 × 175,867
  4. Step 4: Simplify right side
    80,855x = 30,929,201,689
  5. Step 5: Solve for x
    x = 30,929,201,689/80,855
  6. Step 6: Final answer
    x = 382,526.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.