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Finding the Third Proportional to 129,996 and 282,185

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Solution

The third proportional to 129,996 and 282,185 is: 612,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,996 : 282,185 = 282,185 : x
  2. Step 2: Convert to fraction form
    129,996/282,185 = 282,185/x
  3. Step 3: Cross multiply
    129,996x = 282,185 × 282,185
  4. Step 4: Simplify right side
    129,996x = 79,628,374,225
  5. Step 5: Solve for x
    x = 79,628,374,225/129,996
  6. Step 6: Final answer
    x = 612,544.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.