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Finding the Third Proportional to 54,912 and 120,516

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Solution

The third proportional to 54,912 and 120,516 is: 264,497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,912 : 120,516 = 120,516 : x
  2. Step 2: Convert to fraction form
    54,912/120,516 = 120,516/x
  3. Step 3: Cross multiply
    54,912x = 120,516 × 120,516
  4. Step 4: Simplify right side
    54,912x = 14,524,106,256
  5. Step 5: Solve for x
    x = 14,524,106,256/54,912
  6. Step 6: Final answer
    x = 264,497.86

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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.