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Finding the Third Proportional to 38,582 and 81,903

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Solution

The third proportional to 38,582 and 81,903 is: 173,866.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,582 : 81,903 = 81,903 : x
  2. Step 2: Convert to fraction form
    38,582/81,903 = 81,903/x
  3. Step 3: Cross multiply
    38,582x = 81,903 × 81,903
  4. Step 4: Simplify right side
    38,582x = 6,708,101,409
  5. Step 5: Solve for x
    x = 6,708,101,409/38,582
  6. Step 6: Final answer
    x = 173,866.09

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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.