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Finding the Third Proportional to 68,863.50 and 102,021.75

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Solution

The third proportional to 68,863.50 and 102,021.75 is: 151,145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,863.50 : 102,021.75 = 102,021.75 : x
  2. Step 2: Convert to fraction form
    68,863.50/102,021.75 = 102,021.75/x
  3. Step 3: Cross multiply
    68,863.50x = 102,021.75 × 102,021.75
  4. Step 4: Simplify right side
    68,863.50x = 10,408,437,473.06
  5. Step 5: Solve for x
    x = 10,408,437,473.06/68,863.50
  6. Step 6: Final answer
    x = 151,145.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.