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Finding the Third Proportional to 82,827 and 129,161.25

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Solution

The third proportional to 82,827 and 129,161.25 is: 201,415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,827 : 129,161.25 = 129,161.25 : x
  2. Step 2: Convert to fraction form
    82,827/129,161.25 = 129,161.25/x
  3. Step 3: Cross multiply
    82,827x = 129,161.25 × 129,161.25
  4. Step 4: Simplify right side
    82,827x = 16,682,628,501.56
  5. Step 5: Solve for x
    x = 16,682,628,501.56/82,827
  6. Step 6: Final answer
    x = 201,415.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.