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Finding the Third Proportional to 18,351 and 43,285.50

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Solution

The third proportional to 18,351 and 43,285.50 is: 102,099.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,351 : 43,285.50 = 43,285.50 : x
  2. Step 2: Convert to fraction form
    18,351/43,285.50 = 43,285.50/x
  3. Step 3: Cross multiply
    18,351x = 43,285.50 × 43,285.50
  4. Step 4: Simplify right side
    18,351x = 1,873,634,510.25
  5. Step 5: Solve for x
    x = 1,873,634,510.25/18,351
  6. Step 6: Final answer
    x = 102,099.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.