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Finding the Third Proportional to 131,922 and 318,867

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Solution

The third proportional to 131,922 and 318,867 is: 770,729.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,922 : 318,867 = 318,867 : x
  2. Step 2: Convert to fraction form
    131,922/318,867 = 318,867/x
  3. Step 3: Cross multiply
    131,922x = 318,867 × 318,867
  4. Step 4: Simplify right side
    131,922x = 101,676,163,689
  5. Step 5: Solve for x
    x = 101,676,163,689/131,922
  6. Step 6: Final answer
    x = 770,729.40

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.