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Finding the Third Proportional to 149,128 and 315,529

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Solution

The third proportional to 149,128 and 315,529 is: 667,604.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,128 : 315,529 = 315,529 : x
  2. Step 2: Convert to fraction form
    149,128/315,529 = 315,529/x
  3. Step 3: Cross multiply
    149,128x = 315,529 × 315,529
  4. Step 4: Simplify right side
    149,128x = 99,558,549,841
  5. Step 5: Solve for x
    x = 99,558,549,841/149,128
  6. Step 6: Final answer
    x = 667,604.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.