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Finding the Third Proportional to 129,636 and 211,683

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Solution

The third proportional to 129,636 and 211,683 is: 345,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,636 : 211,683 = 211,683 : x
  2. Step 2: Convert to fraction form
    129,636/211,683 = 211,683/x
  3. Step 3: Cross multiply
    129,636x = 211,683 × 211,683
  4. Step 4: Simplify right side
    129,636x = 44,809,692,489
  5. Step 5: Solve for x
    x = 44,809,692,489/129,636
  6. Step 6: Final answer
    x = 345,657.78

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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.