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Finding the Third Proportional to 73,415.25 and 160,314.75

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Solution

The third proportional to 73,415.25 and 160,314.75 is: 350,074.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,415.25 : 160,314.75 = 160,314.75 : x
  2. Step 2: Convert to fraction form
    73,415.25/160,314.75 = 160,314.75/x
  3. Step 3: Cross multiply
    73,415.25x = 160,314.75 × 160,314.75
  4. Step 4: Simplify right side
    73,415.25x = 25,700,819,067.56
  5. Step 5: Solve for x
    x = 25,700,819,067.56/73,415.25
  6. Step 6: Final answer
    x = 350,074.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.