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Finding the Third Proportional to 81,408 and 173,568

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Solution

The third proportional to 81,408 and 173,568 is: 370,060.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,408 : 173,568 = 173,568 : x
  2. Step 2: Convert to fraction form
    81,408/173,568 = 173,568/x
  3. Step 3: Cross multiply
    81,408x = 173,568 × 173,568
  4. Step 4: Simplify right side
    81,408x = 30,125,850,624
  5. Step 5: Solve for x
    x = 30,125,850,624/81,408
  6. Step 6: Final answer
    x = 370,060.08

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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.