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Finding the Third Proportional to 55,478 and 120,828

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Solution

The third proportional to 55,478 and 120,828 is: 263,156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,478 : 120,828 = 120,828 : x
  2. Step 2: Convert to fraction form
    55,478/120,828 = 120,828/x
  3. Step 3: Cross multiply
    55,478x = 120,828 × 120,828
  4. Step 4: Simplify right side
    55,478x = 14,599,405,584
  5. Step 5: Solve for x
    x = 14,599,405,584/55,478
  6. Step 6: Final answer
    x = 263,156.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.