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Finding the Third Proportional to 77,874 and 120,834

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Solution

The third proportional to 77,874 and 120,834 is: 187,493.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,874 : 120,834 = 120,834 : x
  2. Step 2: Convert to fraction form
    77,874/120,834 = 120,834/x
  3. Step 3: Cross multiply
    77,874x = 120,834 × 120,834
  4. Step 4: Simplify right side
    77,874x = 14,600,855,556
  5. Step 5: Solve for x
    x = 14,600,855,556/77,874
  6. Step 6: Final answer
    x = 187,493.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.