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Finding the Third Proportional to 56,082 and 129,837

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Solution

The third proportional to 56,082 and 129,837 is: 300,589.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,082 : 129,837 = 129,837 : x
  2. Step 2: Convert to fraction form
    56,082/129,837 = 129,837/x
  3. Step 3: Cross multiply
    56,082x = 129,837 × 129,837
  4. Step 4: Simplify right side
    56,082x = 16,857,646,569
  5. Step 5: Solve for x
    x = 16,857,646,569/56,082
  6. Step 6: Final answer
    x = 300,589.25

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.