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Finding the Third Proportional to 258,491 and 378,725

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Solution

The third proportional to 258,491 and 378,725 is: 554,884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,491 : 378,725 = 378,725 : x
  2. Step 2: Convert to fraction form
    258,491/378,725 = 378,725/x
  3. Step 3: Cross multiply
    258,491x = 378,725 × 378,725
  4. Step 4: Simplify right side
    258,491x = 143,432,625,625
  5. Step 5: Solve for x
    x = 143,432,625,625/258,491
  6. Step 6: Final answer
    x = 554,884.41

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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.