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Finding the Third Proportional to 129,627 and 211,668

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Solution

The third proportional to 129,627 and 211,668 is: 345,632.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,627 : 211,668 = 211,668 : x
  2. Step 2: Convert to fraction form
    129,627/211,668 = 211,668/x
  3. Step 3: Cross multiply
    129,627x = 211,668 × 211,668
  4. Step 4: Simplify right side
    129,627x = 44,803,342,224
  5. Step 5: Solve for x
    x = 44,803,342,224/129,627
  6. Step 6: Final answer
    x = 345,632.79

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.