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Finding the Third Proportional to 55,286 and 129,962

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Solution

The third proportional to 55,286 and 129,962 is: 305,504.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,286 : 129,962 = 129,962 : x
  2. Step 2: Convert to fraction form
    55,286/129,962 = 129,962/x
  3. Step 3: Cross multiply
    55,286x = 129,962 × 129,962
  4. Step 4: Simplify right side
    55,286x = 16,890,121,444
  5. Step 5: Solve for x
    x = 16,890,121,444/55,286
  6. Step 6: Final answer
    x = 305,504.49

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.