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Finding the Third Proportional to 38,580 and 81,899

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Solution

The third proportional to 38,580 and 81,899 is: 173,858.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,580 : 81,899 = 81,899 : x
  2. Step 2: Convert to fraction form
    38,580/81,899 = 81,899/x
  3. Step 3: Cross multiply
    38,580x = 81,899 × 81,899
  4. Step 4: Simplify right side
    38,580x = 6,707,446,201
  5. Step 5: Solve for x
    x = 6,707,446,201/38,580
  6. Step 6: Final answer
    x = 173,858.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.