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Finding the Third Proportional to 272,625 and 558,474

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Solution

The third proportional to 272,625 and 558,474 is: 1,144,037.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,625 : 558,474 = 558,474 : x
  2. Step 2: Convert to fraction form
    272,625/558,474 = 558,474/x
  3. Step 3: Cross multiply
    272,625x = 558,474 × 558,474
  4. Step 4: Simplify right side
    272,625x = 311,893,208,676
  5. Step 5: Solve for x
    x = 311,893,208,676/272,625
  6. Step 6: Final answer
    x = 1,144,037.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.