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Finding the Third Proportional to 55,512 and 77,112

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Solution

The third proportional to 55,512 and 77,112 is: 107,116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,512 : 77,112 = 77,112 : x
  2. Step 2: Convert to fraction form
    55,512/77,112 = 77,112/x
  3. Step 3: Cross multiply
    55,512x = 77,112 × 77,112
  4. Step 4: Simplify right side
    55,512x = 5,946,260,544
  5. Step 5: Solve for x
    x = 5,946,260,544/55,512
  6. Step 6: Final answer
    x = 107,116.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.