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Finding the Third Proportional to 31,678 and 69,891

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Solution

The third proportional to 31,678 and 69,891 is: 154,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,678 : 69,891 = 69,891 : x
  2. Step 2: Convert to fraction form
    31,678/69,891 = 69,891/x
  3. Step 3: Cross multiply
    31,678x = 69,891 × 69,891
  4. Step 4: Simplify right side
    31,678x = 4,884,751,881
  5. Step 5: Solve for x
    x = 4,884,751,881/31,678
  6. Step 6: Final answer
    x = 154,200.14

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.