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Finding the Third Proportional to 272,676 and 418,536

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Solution

The third proportional to 272,676 and 418,536 is: 642,419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,676 : 418,536 = 418,536 : x
  2. Step 2: Convert to fraction form
    272,676/418,536 = 418,536/x
  3. Step 3: Cross multiply
    272,676x = 418,536 × 418,536
  4. Step 4: Simplify right side
    272,676x = 175,172,383,296
  5. Step 5: Solve for x
    x = 175,172,383,296/272,676
  6. Step 6: Final answer
    x = 642,419.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.