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Finding the Third Proportional to 35,874 and 78,823

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Solution

The third proportional to 35,874 and 78,823 is: 173,191.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,874 : 78,823 = 78,823 : x
  2. Step 2: Convert to fraction form
    35,874/78,823 = 78,823/x
  3. Step 3: Cross multiply
    35,874x = 78,823 × 78,823
  4. Step 4: Simplify right side
    35,874x = 6,213,065,329
  5. Step 5: Solve for x
    x = 6,213,065,329/35,874
  6. Step 6: Final answer
    x = 173,191.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.