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Finding the Third Proportional to 123,690 and 178,675

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Solution

The third proportional to 123,690 and 178,675 is: 258,102.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,690 : 178,675 = 178,675 : x
  2. Step 2: Convert to fraction form
    123,690/178,675 = 178,675/x
  3. Step 3: Cross multiply
    123,690x = 178,675 × 178,675
  4. Step 4: Simplify right side
    123,690x = 31,924,755,625
  5. Step 5: Solve for x
    x = 31,924,755,625/123,690
  6. Step 6: Final answer
    x = 258,102.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.