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Finding the Third Proportional to 111,285 and 170,613

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Solution

The third proportional to 111,285 and 170,613 is: 261,569.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,285 : 170,613 = 170,613 : x
  2. Step 2: Convert to fraction form
    111,285/170,613 = 170,613/x
  3. Step 3: Cross multiply
    111,285x = 170,613 × 170,613
  4. Step 4: Simplify right side
    111,285x = 29,108,795,769
  5. Step 5: Solve for x
    x = 29,108,795,769/111,285
  6. Step 6: Final answer
    x = 261,569.81

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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.