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Finding the Third Proportional to 273,252 and 418,170

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Solution

The third proportional to 273,252 and 418,170 is: 639,944.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,252 : 418,170 = 418,170 : x
  2. Step 2: Convert to fraction form
    273,252/418,170 = 418,170/x
  3. Step 3: Cross multiply
    273,252x = 418,170 × 418,170
  4. Step 4: Simplify right side
    273,252x = 174,866,148,900
  5. Step 5: Solve for x
    x = 174,866,148,900/273,252
  6. Step 6: Final answer
    x = 639,944.63

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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.