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Finding the Third Proportional to 170,600 and 261,116

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Solution

The third proportional to 170,600 and 261,116 is: 399,657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,600 : 261,116 = 261,116 : x
  2. Step 2: Convert to fraction form
    170,600/261,116 = 261,116/x
  3. Step 3: Cross multiply
    170,600x = 261,116 × 261,116
  4. Step 4: Simplify right side
    170,600x = 68,181,565,456
  5. Step 5: Solve for x
    x = 68,181,565,456/170,600
  6. Step 6: Final answer
    x = 399,657.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.