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Finding the Third Proportional to 143,485 and 181,930

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Solution

The third proportional to 143,485 and 181,930 is: 230,675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,485 : 181,930 = 181,930 : x
  2. Step 2: Convert to fraction form
    143,485/181,930 = 181,930/x
  3. Step 3: Cross multiply
    143,485x = 181,930 × 181,930
  4. Step 4: Simplify right side
    143,485x = 33,098,524,900
  5. Step 5: Solve for x
    x = 33,098,524,900/143,485
  6. Step 6: Final answer
    x = 230,675.85

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.