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Finding the Third Proportional to 54,513 and 79,977

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Solution

The third proportional to 54,513 and 79,977 is: 117,335.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,513 : 79,977 = 79,977 : x
  2. Step 2: Convert to fraction form
    54,513/79,977 = 79,977/x
  3. Step 3: Cross multiply
    54,513x = 79,977 × 79,977
  4. Step 4: Simplify right side
    54,513x = 6,396,320,529
  5. Step 5: Solve for x
    x = 6,396,320,529/54,513
  6. Step 6: Final answer
    x = 117,335.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.