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Finding the Third Proportional to 143,481.38 and 210,837.94

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Solution

The third proportional to 143,481.38 and 210,837.94 is: 309,814.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,481.38 : 210,837.94 = 210,837.94 : x
  2. Step 2: Convert to fraction form
    143,481.38/210,837.94 = 210,837.94/x
  3. Step 3: Cross multiply
    143,481.38x = 210,837.94 × 210,837.94
  4. Step 4: Simplify right side
    143,481.38x = 44,452,635,889.25
  5. Step 5: Solve for x
    x = 44,452,635,889.25/143,481.38
  6. Step 6: Final answer
    x = 309,814.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.