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Finding the Third Proportional to 257,678 and 371,138

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Solution

The third proportional to 257,678 and 371,138 is: 534,556.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,678 : 371,138 = 371,138 : x
  2. Step 2: Convert to fraction form
    257,678/371,138 = 371,138/x
  3. Step 3: Cross multiply
    257,678x = 371,138 × 371,138
  4. Step 4: Simplify right side
    257,678x = 137,743,415,044
  5. Step 5: Solve for x
    x = 137,743,415,044/257,678
  6. Step 6: Final answer
    x = 534,556.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.