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Finding the Third Proportional to 77,778 and 120,311

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Solution

The third proportional to 77,778 and 120,311 is: 186,103.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,778 : 120,311 = 120,311 : x
  2. Step 2: Convert to fraction form
    77,778/120,311 = 120,311/x
  3. Step 3: Cross multiply
    77,778x = 120,311 × 120,311
  4. Step 4: Simplify right side
    77,778x = 14,474,736,721
  5. Step 5: Solve for x
    x = 14,474,736,721/77,778
  6. Step 6: Final answer
    x = 186,103.23

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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.