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Finding the Third Proportional to 44,832 and 96,582

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Solution

The third proportional to 44,832 and 96,582 is: 208,067.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,832 : 96,582 = 96,582 : x
  2. Step 2: Convert to fraction form
    44,832/96,582 = 96,582/x
  3. Step 3: Cross multiply
    44,832x = 96,582 × 96,582
  4. Step 4: Simplify right side
    44,832x = 9,328,082,724
  5. Step 5: Solve for x
    x = 9,328,082,724/44,832
  6. Step 6: Final answer
    x = 208,067.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.