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Finding the Third Proportional to 149,709.75 and 306,405

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Solution

The third proportional to 149,709.75 and 306,405 is: 627,106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,709.75 : 306,405 = 306,405 : x
  2. Step 2: Convert to fraction form
    149,709.75/306,405 = 306,405/x
  3. Step 3: Cross multiply
    149,709.75x = 306,405 × 306,405
  4. Step 4: Simplify right side
    149,709.75x = 93,884,024,025
  5. Step 5: Solve for x
    x = 93,884,024,025/149,709.75
  6. Step 6: Final answer
    x = 627,106.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.