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Finding the Third Proportional to 54,515 and 120,816

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Solution

The third proportional to 54,515 and 120,816 is: 267,752.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,515 : 120,816 = 120,816 : x
  2. Step 2: Convert to fraction form
    54,515/120,816 = 120,816/x
  3. Step 3: Cross multiply
    54,515x = 120,816 × 120,816
  4. Step 4: Simplify right side
    54,515x = 14,596,505,856
  5. Step 5: Solve for x
    x = 14,596,505,856/54,515
  6. Step 6: Final answer
    x = 267,752.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.