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Finding the Third Proportional to 55,827 and 120,400

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Solution

The third proportional to 55,827 and 120,400 is: 259,662.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,827 : 120,400 = 120,400 : x
  2. Step 2: Convert to fraction form
    55,827/120,400 = 120,400/x
  3. Step 3: Cross multiply
    55,827x = 120,400 × 120,400
  4. Step 4: Simplify right side
    55,827x = 14,496,160,000
  5. Step 5: Solve for x
    x = 14,496,160,000/55,827
  6. Step 6: Final answer
    x = 259,662.17

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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.