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Finding the Third Proportional to 149,808 and 318,084

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Solution

The third proportional to 149,808 and 318,084 is: 675,380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,808 : 318,084 = 318,084 : x
  2. Step 2: Convert to fraction form
    149,808/318,084 = 318,084/x
  3. Step 3: Cross multiply
    149,808x = 318,084 × 318,084
  4. Step 4: Simplify right side
    149,808x = 101,177,431,056
  5. Step 5: Solve for x
    x = 101,177,431,056/149,808
  6. Step 6: Final answer
    x = 675,380.69

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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.