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Finding the Third Proportional to 68,402 and 102,801

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Solution

The third proportional to 68,402 and 102,801 is: 154,499.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,402 : 102,801 = 102,801 : x
  2. Step 2: Convert to fraction form
    68,402/102,801 = 102,801/x
  3. Step 3: Cross multiply
    68,402x = 102,801 × 102,801
  4. Step 4: Simplify right side
    68,402x = 10,568,045,601
  5. Step 5: Solve for x
    x = 10,568,045,601/68,402
  6. Step 6: Final answer
    x = 154,499.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.