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Finding the Third Proportional to 52,728 and 81,420

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Solution

The third proportional to 52,728 and 81,420 is: 125,724.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,728 : 81,420 = 81,420 : x
  2. Step 2: Convert to fraction form
    52,728/81,420 = 81,420/x
  3. Step 3: Cross multiply
    52,728x = 81,420 × 81,420
  4. Step 4: Simplify right side
    52,728x = 6,629,216,400
  5. Step 5: Solve for x
    x = 6,629,216,400/52,728
  6. Step 6: Final answer
    x = 125,724.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.