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Finding the Third Proportional to 31,678 and 66,916

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Solution

The third proportional to 31,678 and 66,916 is: 141,352.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,678 : 66,916 = 66,916 : x
  2. Step 2: Convert to fraction form
    31,678/66,916 = 66,916/x
  3. Step 3: Cross multiply
    31,678x = 66,916 × 66,916
  4. Step 4: Simplify right side
    31,678x = 4,477,751,056
  5. Step 5: Solve for x
    x = 4,477,751,056/31,678
  6. Step 6: Final answer
    x = 141,352.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.