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Finding the Third Proportional to 81,536.63 and 129,716.44

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Solution

The third proportional to 81,536.63 and 129,716.44 is: 206,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,536.63 : 129,716.44 = 129,716.44 : x
  2. Step 2: Convert to fraction form
    81,536.63/129,716.44 = 129,716.44/x
  3. Step 3: Cross multiply
    81,536.63x = 129,716.44 × 129,716.44
  4. Step 4: Simplify right side
    81,536.63x = 16,826,354,157.69
  5. Step 5: Solve for x
    x = 16,826,354,157.69/81,536.63
  6. Step 6: Final answer
    x = 206,365.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.