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Finding the Third Proportional to 135,706.50 and 210,891

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Solution

The third proportional to 135,706.50 and 210,891 is: 327,729.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,706.50 : 210,891 = 210,891 : x
  2. Step 2: Convert to fraction form
    135,706.50/210,891 = 210,891/x
  3. Step 3: Cross multiply
    135,706.50x = 210,891 × 210,891
  4. Step 4: Simplify right side
    135,706.50x = 44,475,013,881
  5. Step 5: Solve for x
    x = 44,475,013,881/135,706.50
  6. Step 6: Final answer
    x = 327,729.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.