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Finding the Third Proportional to 75,172 and 115,512

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Solution

The third proportional to 75,172 and 115,512 is: 177,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,172 : 115,512 = 115,512 : x
  2. Step 2: Convert to fraction form
    75,172/115,512 = 115,512/x
  3. Step 3: Cross multiply
    75,172x = 115,512 × 115,512
  4. Step 4: Simplify right side
    75,172x = 13,343,022,144
  5. Step 5: Solve for x
    x = 13,343,022,144/75,172
  6. Step 6: Final answer
    x = 177,499.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.