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Finding the Third Proportional to 55,778 and 120,676

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Solution

The third proportional to 55,778 and 120,676 is: 261,083.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,778 : 120,676 = 120,676 : x
  2. Step 2: Convert to fraction form
    55,778/120,676 = 120,676/x
  3. Step 3: Cross multiply
    55,778x = 120,676 × 120,676
  4. Step 4: Simplify right side
    55,778x = 14,562,696,976
  5. Step 5: Solve for x
    x = 14,562,696,976/55,778
  6. Step 6: Final answer
    x = 261,083.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.