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Finding the Third Proportional to 143,619 and 227,309

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Solution

The third proportional to 143,619 and 227,309 is: 359,767.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,619 : 227,309 = 227,309 : x
  2. Step 2: Convert to fraction form
    143,619/227,309 = 227,309/x
  3. Step 3: Cross multiply
    143,619x = 227,309 × 227,309
  4. Step 4: Simplify right side
    143,619x = 51,669,381,481
  5. Step 5: Solve for x
    x = 51,669,381,481/143,619
  6. Step 6: Final answer
    x = 359,767.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.