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Finding the Third Proportional to 80,142.75 and 173,134.13

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Solution

The third proportional to 80,142.75 and 173,134.13 is: 374,025.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,142.75 : 173,134.13 = 173,134.13 : x
  2. Step 2: Convert to fraction form
    80,142.75/173,134.13 = 173,134.13/x
  3. Step 3: Cross multiply
    80,142.75x = 173,134.13 × 173,134.13
  4. Step 4: Simplify right side
    80,142.75x = 29,975,425,239.52
  5. Step 5: Solve for x
    x = 29,975,425,239.52/80,142.75
  6. Step 6: Final answer
    x = 374,025.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.