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Finding the Third Proportional to 40,647 and 85,722

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Solution

The third proportional to 40,647 and 85,722 is: 180,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,647 : 85,722 = 85,722 : x
  2. Step 2: Convert to fraction form
    40,647/85,722 = 85,722/x
  3. Step 3: Cross multiply
    40,647x = 85,722 × 85,722
  4. Step 4: Simplify right side
    40,647x = 7,348,261,284
  5. Step 5: Solve for x
    x = 7,348,261,284/40,647
  6. Step 6: Final answer
    x = 180,782.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.