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Finding the Third Proportional to 40,758 and 84,135

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Solution

The third proportional to 40,758 and 84,135 is: 173,676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,758 : 84,135 = 84,135 : x
  2. Step 2: Convert to fraction form
    40,758/84,135 = 84,135/x
  3. Step 3: Cross multiply
    40,758x = 84,135 × 84,135
  4. Step 4: Simplify right side
    40,758x = 7,078,698,225
  5. Step 5: Solve for x
    x = 7,078,698,225/40,758
  6. Step 6: Final answer
    x = 173,676.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.