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Finding the Third Proportional to 121,601 and 284,101

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Solution

The third proportional to 121,601 and 284,101 is: 663,755.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,601 : 284,101 = 284,101 : x
  2. Step 2: Convert to fraction form
    121,601/284,101 = 284,101/x
  3. Step 3: Cross multiply
    121,601x = 284,101 × 284,101
  4. Step 4: Simplify right side
    121,601x = 80,713,378,201
  5. Step 5: Solve for x
    x = 80,713,378,201/121,601
  6. Step 6: Final answer
    x = 663,755.88

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.