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Finding the Third Proportional to 257,703 and 378,828

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Solution

The third proportional to 257,703 and 378,828 is: 556,883.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,703 : 378,828 = 378,828 : x
  2. Step 2: Convert to fraction form
    257,703/378,828 = 378,828/x
  3. Step 3: Cross multiply
    257,703x = 378,828 × 378,828
  4. Step 4: Simplify right side
    257,703x = 143,510,653,584
  5. Step 5: Solve for x
    x = 143,510,653,584/257,703
  6. Step 6: Final answer
    x = 556,883.91

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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.