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Finding the Third Proportional to 112,138 and 171,489

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Solution

The third proportional to 112,138 and 171,489 is: 262,252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,138 : 171,489 = 171,489 : x
  2. Step 2: Convert to fraction form
    112,138/171,489 = 171,489/x
  3. Step 3: Cross multiply
    112,138x = 171,489 × 171,489
  4. Step 4: Simplify right side
    112,138x = 29,408,477,121
  5. Step 5: Solve for x
    x = 29,408,477,121/112,138
  6. Step 6: Final answer
    x = 262,252.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.