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Finding the Third Proportional to 111,299 and 170,630

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Solution

The third proportional to 111,299 and 170,630 is: 261,589.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,299 : 170,630 = 170,630 : x
  2. Step 2: Convert to fraction form
    111,299/170,630 = 170,630/x
  3. Step 3: Cross multiply
    111,299x = 170,630 × 170,630
  4. Step 4: Simplify right side
    111,299x = 29,114,596,900
  5. Step 5: Solve for x
    x = 29,114,596,900/111,299
  6. Step 6: Final answer
    x = 261,589.03

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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.