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Finding the Third Proportional to 81,408 and 128,668

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Solution

The third proportional to 81,408 and 128,668 is: 203,363.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,408 : 128,668 = 128,668 : x
  2. Step 2: Convert to fraction form
    81,408/128,668 = 128,668/x
  3. Step 3: Cross multiply
    81,408x = 128,668 × 128,668
  4. Step 4: Simplify right side
    81,408x = 16,555,454,224
  5. Step 5: Solve for x
    x = 16,555,454,224/81,408
  6. Step 6: Final answer
    x = 203,363.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.