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Finding the Third Proportional to 258,137 and 378,739

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Solution

The third proportional to 258,137 and 378,739 is: 555,686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,137 : 378,739 = 378,739 : x
  2. Step 2: Convert to fraction form
    258,137/378,739 = 378,739/x
  3. Step 3: Cross multiply
    258,137x = 378,739 × 378,739
  4. Step 4: Simplify right side
    258,137x = 143,443,230,121
  5. Step 5: Solve for x
    x = 143,443,230,121/258,137
  6. Step 6: Final answer
    x = 555,686.44

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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.