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Finding the Third Proportional to 81,109.13 and 108,495.38

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Solution

The third proportional to 81,109.13 and 108,495.38 is: 145,128.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,109.13 : 108,495.38 = 108,495.38 : x
  2. Step 2: Convert to fraction form
    81,109.13/108,495.38 = 108,495.38/x
  3. Step 3: Cross multiply
    81,109.13x = 108,495.38 × 108,495.38
  4. Step 4: Simplify right side
    81,109.13x = 11,771,246,396.39
  5. Step 5: Solve for x
    x = 11,771,246,396.39/81,109.13
  6. Step 6: Final answer
    x = 145,128.51

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.