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Finding the Third Proportional to 170,147 and 261,170

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Solution

The third proportional to 170,147 and 261,170 is: 400,887.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,147 : 261,170 = 261,170 : x
  2. Step 2: Convert to fraction form
    170,147/261,170 = 261,170/x
  3. Step 3: Cross multiply
    170,147x = 261,170 × 261,170
  4. Step 4: Simplify right side
    170,147x = 68,209,768,900
  5. Step 5: Solve for x
    x = 68,209,768,900/170,147
  6. Step 6: Final answer
    x = 400,887.29

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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.