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Finding the Third Proportional to 55,395 and 120,813

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Solution

The third proportional to 55,395 and 120,813 is: 263,485.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,395 : 120,813 = 120,813 : x
  2. Step 2: Convert to fraction form
    55,395/120,813 = 120,813/x
  3. Step 3: Cross multiply
    55,395x = 120,813 × 120,813
  4. Step 4: Simplify right side
    55,395x = 14,595,780,969
  5. Step 5: Solve for x
    x = 14,595,780,969/55,395
  6. Step 6: Final answer
    x = 263,485.53

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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.