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Finding the Third Proportional to 171,623 and 256,462

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Solution

The third proportional to 171,623 and 256,462 is: 383,239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,623 : 256,462 = 256,462 : x
  2. Step 2: Convert to fraction form
    171,623/256,462 = 256,462/x
  3. Step 3: Cross multiply
    171,623x = 256,462 × 256,462
  4. Step 4: Simplify right side
    171,623x = 65,772,757,444
  5. Step 5: Solve for x
    x = 65,772,757,444/171,623
  6. Step 6: Final answer
    x = 383,239.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.