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Finding the Third Proportional to 114,885 and 172,449

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Solution

The third proportional to 114,885 and 172,449 is: 258,855.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,885 : 172,449 = 172,449 : x
  2. Step 2: Convert to fraction form
    114,885/172,449 = 172,449/x
  3. Step 3: Cross multiply
    114,885x = 172,449 × 172,449
  4. Step 4: Simplify right side
    114,885x = 29,738,657,601
  5. Step 5: Solve for x
    x = 29,738,657,601/114,885
  6. Step 6: Final answer
    x = 258,855.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.