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Finding the Third Proportional to 147,048 and 315,912

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Solution

The third proportional to 147,048 and 315,912 is: 678,692.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,048 : 315,912 = 315,912 : x
  2. Step 2: Convert to fraction form
    147,048/315,912 = 315,912/x
  3. Step 3: Cross multiply
    147,048x = 315,912 × 315,912
  4. Step 4: Simplify right side
    147,048x = 99,800,391,744
  5. Step 5: Solve for x
    x = 99,800,391,744/147,048
  6. Step 6: Final answer
    x = 678,692.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.