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Finding the Third Proportional to 81,747 and 173,883

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Solution

The third proportional to 81,747 and 173,883 is: 369,864.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,747 : 173,883 = 173,883 : x
  2. Step 2: Convert to fraction form
    81,747/173,883 = 173,883/x
  3. Step 3: Cross multiply
    81,747x = 173,883 × 173,883
  4. Step 4: Simplify right side
    81,747x = 30,235,297,689
  5. Step 5: Solve for x
    x = 30,235,297,689/81,747
  6. Step 6: Final answer
    x = 369,864.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.