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Finding the Third Proportional to 171,309 and 261,009

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Solution

The third proportional to 171,309 and 261,009 is: 397,677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,309 : 261,009 = 261,009 : x
  2. Step 2: Convert to fraction form
    171,309/261,009 = 261,009/x
  3. Step 3: Cross multiply
    171,309x = 261,009 × 261,009
  4. Step 4: Simplify right side
    171,309x = 68,125,698,081
  5. Step 5: Solve for x
    x = 68,125,698,081/171,309
  6. Step 6: Final answer
    x = 397,677.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.