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Finding the Third Proportional to 51,852 and 81,504

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Solution

The third proportional to 51,852 and 81,504 is: 128,112.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,852 : 81,504 = 81,504 : x
  2. Step 2: Convert to fraction form
    51,852/81,504 = 81,504/x
  3. Step 3: Cross multiply
    51,852x = 81,504 × 81,504
  4. Step 4: Simplify right side
    51,852x = 6,642,902,016
  5. Step 5: Solve for x
    x = 6,642,902,016/51,852
  6. Step 6: Final answer
    x = 128,112.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.