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Finding the Third Proportional to 54,400 and 76,480

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Solution

The third proportional to 54,400 and 76,480 is: 107,521.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,400 : 76,480 = 76,480 : x
  2. Step 2: Convert to fraction form
    54,400/76,480 = 76,480/x
  3. Step 3: Cross multiply
    54,400x = 76,480 × 76,480
  4. Step 4: Simplify right side
    54,400x = 5,849,190,400
  5. Step 5: Solve for x
    x = 5,849,190,400/54,400
  6. Step 6: Final answer
    x = 107,521.88

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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.