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Finding the Third Proportional to 54,880 and 82,720

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Solution

The third proportional to 54,880 and 82,720 is: 124,682.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,880 : 82,720 = 82,720 : x
  2. Step 2: Convert to fraction form
    54,880/82,720 = 82,720/x
  3. Step 3: Cross multiply
    54,880x = 82,720 × 82,720
  4. Step 4: Simplify right side
    54,880x = 6,842,598,400
  5. Step 5: Solve for x
    x = 6,842,598,400/54,880
  6. Step 6: Final answer
    x = 124,682.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.