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Finding the Third Proportional to 18,535 and 39,979

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Solution

The third proportional to 18,535 and 39,979 is: 86,232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,535 : 39,979 = 39,979 : x
  2. Step 2: Convert to fraction form
    18,535/39,979 = 39,979/x
  3. Step 3: Cross multiply
    18,535x = 39,979 × 39,979
  4. Step 4: Simplify right side
    18,535x = 1,598,320,441
  5. Step 5: Solve for x
    x = 1,598,320,441/18,535
  6. Step 6: Final answer
    x = 86,232.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.