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Finding the Third Proportional to 39,242 and 55,903

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Solution

The third proportional to 39,242 and 55,903 is: 79,637.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,242 : 55,903 = 55,903 : x
  2. Step 2: Convert to fraction form
    39,242/55,903 = 55,903/x
  3. Step 3: Cross multiply
    39,242x = 55,903 × 55,903
  4. Step 4: Simplify right side
    39,242x = 3,125,145,409
  5. Step 5: Solve for x
    x = 3,125,145,409/39,242
  6. Step 6: Final answer
    x = 79,637.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.