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Finding the Third Proportional to 84,078 and 180,912

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Solution

The third proportional to 84,078 and 180,912 is: 389,271.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,078 : 180,912 = 180,912 : x
  2. Step 2: Convert to fraction form
    84,078/180,912 = 180,912/x
  3. Step 3: Cross multiply
    84,078x = 180,912 × 180,912
  4. Step 4: Simplify right side
    84,078x = 32,729,151,744
  5. Step 5: Solve for x
    x = 32,729,151,744/84,078
  6. Step 6: Final answer
    x = 389,271.29

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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.