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Finding the Third Proportional to 143,344.50 and 200,490.75

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Solution

The third proportional to 143,344.50 and 200,490.75 is: 280,419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,344.50 : 200,490.75 = 200,490.75 : x
  2. Step 2: Convert to fraction form
    143,344.50/200,490.75 = 200,490.75/x
  3. Step 3: Cross multiply
    143,344.50x = 200,490.75 × 200,490.75
  4. Step 4: Simplify right side
    143,344.50x = 40,196,540,835.56
  5. Step 5: Solve for x
    x = 40,196,540,835.56/143,344.50
  6. Step 6: Final answer
    x = 280,419.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.