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Finding the Third Proportional to 31,198 and 66,862

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Solution

The third proportional to 31,198 and 66,862 is: 143,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,198 : 66,862 = 66,862 : x
  2. Step 2: Convert to fraction form
    31,198/66,862 = 66,862/x
  3. Step 3: Cross multiply
    31,198x = 66,862 × 66,862
  4. Step 4: Simplify right side
    31,198x = 4,470,527,044
  5. Step 5: Solve for x
    x = 4,470,527,044/31,198
  6. Step 6: Final answer
    x = 143,295.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.