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Finding the Third Proportional to 80,142.75 and 115,500.38

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Solution

The third proportional to 80,142.75 and 115,500.38 is: 166,457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,142.75 : 115,500.38 = 115,500.38 : x
  2. Step 2: Convert to fraction form
    80,142.75/115,500.38 = 115,500.38/x
  3. Step 3: Cross multiply
    80,142.75x = 115,500.38 × 115,500.38
  4. Step 4: Simplify right side
    80,142.75x = 13,340,336,625.14
  5. Step 5: Solve for x
    x = 13,340,336,625.14/80,142.75
  6. Step 6: Final answer
    x = 166,457.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.