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Finding the Third Proportional to 123,189 and 171,633

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Solution

The third proportional to 123,189 and 171,633 is: 239,127.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,189 : 171,633 = 171,633 : x
  2. Step 2: Convert to fraction form
    123,189/171,633 = 171,633/x
  3. Step 3: Cross multiply
    123,189x = 171,633 × 171,633
  4. Step 4: Simplify right side
    123,189x = 29,457,886,689
  5. Step 5: Solve for x
    x = 29,457,886,689/123,189
  6. Step 6: Final answer
    x = 239,127.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.