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Finding the Third Proportional to 257,591 and 378,933

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Solution

The third proportional to 257,591 and 378,933 is: 557,434.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,591 : 378,933 = 378,933 : x
  2. Step 2: Convert to fraction form
    257,591/378,933 = 378,933/x
  3. Step 3: Cross multiply
    257,591x = 378,933 × 378,933
  4. Step 4: Simplify right side
    257,591x = 143,590,218,489
  5. Step 5: Solve for x
    x = 143,590,218,489/257,591
  6. Step 6: Final answer
    x = 557,434.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.