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Finding the Third Proportional to 257,626 and 378,975

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Solution

The third proportional to 257,626 and 378,975 is: 557,482.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,626 : 378,975 = 378,975 : x
  2. Step 2: Convert to fraction form
    257,626/378,975 = 378,975/x
  3. Step 3: Cross multiply
    257,626x = 378,975 × 378,975
  4. Step 4: Simplify right side
    257,626x = 143,622,050,625
  5. Step 5: Solve for x
    x = 143,622,050,625/257,626
  6. Step 6: Final answer
    x = 557,482.75

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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.