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Finding the Third Proportional to 54,396 and 76,604

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Solution

The third proportional to 54,396 and 76,604 is: 107,878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,396 : 76,604 = 76,604 : x
  2. Step 2: Convert to fraction form
    54,396/76,604 = 76,604/x
  3. Step 3: Cross multiply
    54,396x = 76,604 × 76,604
  4. Step 4: Simplify right side
    54,396x = 5,868,172,816
  5. Step 5: Solve for x
    x = 5,868,172,816/54,396
  6. Step 6: Final answer
    x = 107,878.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.