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Finding the Third Proportional to 136,866 and 203,301

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Solution

The third proportional to 136,866 and 203,301 is: 301,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,866 : 203,301 = 203,301 : x
  2. Step 2: Convert to fraction form
    136,866/203,301 = 203,301/x
  3. Step 3: Cross multiply
    136,866x = 203,301 × 203,301
  4. Step 4: Simplify right side
    136,866x = 41,331,296,601
  5. Step 5: Solve for x
    x = 41,331,296,601/136,866
  6. Step 6: Final answer
    x = 301,983.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.