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Finding the Third Proportional to 52,288 and 82,912

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Solution

The third proportional to 52,288 and 82,912 is: 131,471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,288 : 82,912 = 82,912 : x
  2. Step 2: Convert to fraction form
    52,288/82,912 = 82,912/x
  3. Step 3: Cross multiply
    52,288x = 82,912 × 82,912
  4. Step 4: Simplify right side
    52,288x = 6,874,399,744
  5. Step 5: Solve for x
    x = 6,874,399,744/52,288
  6. Step 6: Final answer
    x = 131,471.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.