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Finding the Third Proportional to 276,770 and 428,067

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Solution

The third proportional to 276,770 and 428,067 is: 662,070.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,770 : 428,067 = 428,067 : x
  2. Step 2: Convert to fraction form
    276,770/428,067 = 428,067/x
  3. Step 3: Cross multiply
    276,770x = 428,067 × 428,067
  4. Step 4: Simplify right side
    276,770x = 183,241,356,489
  5. Step 5: Solve for x
    x = 183,241,356,489/276,770
  6. Step 6: Final answer
    x = 662,070.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.