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Finding the Third Proportional to 113,400 and 171,375.75

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Solution

The third proportional to 113,400 and 171,375.75 is: 258,991.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,400 : 171,375.75 = 171,375.75 : x
  2. Step 2: Convert to fraction form
    113,400/171,375.75 = 171,375.75/x
  3. Step 3: Cross multiply
    113,400x = 171,375.75 × 171,375.75
  4. Step 4: Simplify right side
    113,400x = 29,369,647,688.06
  5. Step 5: Solve for x
    x = 29,369,647,688.06/113,400
  6. Step 6: Final answer
    x = 258,991.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.