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Finding the Third Proportional to 171,660 and 251,345

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Solution

The third proportional to 171,660 and 251,345 is: 368,019.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,660 : 251,345 = 251,345 : x
  2. Step 2: Convert to fraction form
    171,660/251,345 = 251,345/x
  3. Step 3: Cross multiply
    171,660x = 251,345 × 251,345
  4. Step 4: Simplify right side
    171,660x = 63,174,309,025
  5. Step 5: Solve for x
    x = 63,174,309,025/171,660
  6. Step 6: Final answer
    x = 368,019.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.