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Finding the Third Proportional to 55,300 and 129,866

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Solution

The third proportional to 55,300 and 129,866 is: 304,976.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,300 : 129,866 = 129,866 : x
  2. Step 2: Convert to fraction form
    55,300/129,866 = 129,866/x
  3. Step 3: Cross multiply
    55,300x = 129,866 × 129,866
  4. Step 4: Simplify right side
    55,300x = 16,865,177,956
  5. Step 5: Solve for x
    x = 16,865,177,956/55,300
  6. Step 6: Final answer
    x = 304,976.09

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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.