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Finding the Third Proportional to 258,493 and 378,728

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Solution

The third proportional to 258,493 and 378,728 is: 554,888.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,493 : 378,728 = 378,728 : x
  2. Step 2: Convert to fraction form
    258,493/378,728 = 378,728/x
  3. Step 3: Cross multiply
    258,493x = 378,728 × 378,728
  4. Step 4: Simplify right side
    258,493x = 143,434,897,984
  5. Step 5: Solve for x
    x = 143,434,897,984/258,493
  6. Step 6: Final answer
    x = 554,888.91

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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.