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Finding the Third Proportional to 25,728 and 54,620

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Solution

The third proportional to 25,728 and 54,620 is: 115,957.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,728 : 54,620 = 54,620 : x
  2. Step 2: Convert to fraction form
    25,728/54,620 = 54,620/x
  3. Step 3: Cross multiply
    25,728x = 54,620 × 54,620
  4. Step 4: Simplify right side
    25,728x = 2,983,344,400
  5. Step 5: Solve for x
    x = 2,983,344,400/25,728
  6. Step 6: Final answer
    x = 115,957.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.