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Finding the Third Proportional to 100,171.50 and 143,236.13

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Solution

The third proportional to 100,171.50 and 143,236.13 is: 204,814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,171.50 : 143,236.13 = 143,236.13 : x
  2. Step 2: Convert to fraction form
    100,171.50/143,236.13 = 143,236.13/x
  3. Step 3: Cross multiply
    100,171.50x = 143,236.13 × 143,236.13
  4. Step 4: Simplify right side
    100,171.50x = 20,516,587,505.02
  5. Step 5: Solve for x
    x = 20,516,587,505.02/100,171.50
  6. Step 6: Final answer
    x = 204,814.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.