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Finding the Third Proportional to 149,846 and 318,766

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Solution

The third proportional to 149,846 and 318,766 is: 678,107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,846 : 318,766 = 318,766 : x
  2. Step 2: Convert to fraction form
    149,846/318,766 = 318,766/x
  3. Step 3: Cross multiply
    149,846x = 318,766 × 318,766
  4. Step 4: Simplify right side
    149,846x = 101,611,762,756
  5. Step 5: Solve for x
    x = 101,611,762,756/149,846
  6. Step 6: Final answer
    x = 678,107.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.