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Finding the Third Proportional to 272,172 and 545,439

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Solution

The third proportional to 272,172 and 545,439 is: 1,093,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,172 : 545,439 = 545,439 : x
  2. Step 2: Convert to fraction form
    272,172/545,439 = 545,439/x
  3. Step 3: Cross multiply
    272,172x = 545,439 × 545,439
  4. Step 4: Simplify right side
    272,172x = 297,503,702,721
  5. Step 5: Solve for x
    x = 297,503,702,721/272,172
  6. Step 6: Final answer
    x = 1,093,072.41

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.