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Finding the Third Proportional to 54,914 and 120,520

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Solution

The third proportional to 54,914 and 120,520 is: 264,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,914 : 120,520 = 120,520 : x
  2. Step 2: Convert to fraction form
    54,914/120,520 = 120,520/x
  3. Step 3: Cross multiply
    54,914x = 120,520 × 120,520
  4. Step 4: Simplify right side
    54,914x = 14,525,070,400
  5. Step 5: Solve for x
    x = 14,525,070,400/54,914
  6. Step 6: Final answer
    x = 264,505.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.