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Finding the Third Proportional to 143,405 and 227,763

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Solution

The third proportional to 143,405 and 227,763 is: 361,744.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,405 : 227,763 = 227,763 : x
  2. Step 2: Convert to fraction form
    143,405/227,763 = 227,763/x
  3. Step 3: Cross multiply
    143,405x = 227,763 × 227,763
  4. Step 4: Simplify right side
    143,405x = 51,875,984,169
  5. Step 5: Solve for x
    x = 51,875,984,169/143,405
  6. Step 6: Final answer
    x = 361,744.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.