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Finding the Third Proportional to 39,759 and 55,722

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Solution

The third proportional to 39,759 and 55,722 is: 78,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,759 : 55,722 = 55,722 : x
  2. Step 2: Convert to fraction form
    39,759/55,722 = 55,722/x
  3. Step 3: Cross multiply
    39,759x = 55,722 × 55,722
  4. Step 4: Simplify right side
    39,759x = 3,104,941,284
  5. Step 5: Solve for x
    x = 3,104,941,284/39,759
  6. Step 6: Final answer
    x = 78,094.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.